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	<title>Comments on: The Criss-Cross Method: An Alternative Form of Multiplication</title>
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	<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/</link>
	<description>Vedic Maths Tricks &#124; Puzzles, Brainteasers &#38; Riddles</description>
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		<title>By: flamefletcher</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-14656</link>
		<dc:creator>flamefletcher</dc:creator>
		<pubDate>Thu, 05 Jul 2012 13:19:19 +0000</pubDate>
		<guid isPermaLink="false">http://www.quickermaths.com/?p=2732#comment-14656</guid>
		<description>And for a right angled triangle.
This is the formula.
A,B,C are Vertices
AC is hypotenuse.

90/(AB+BC)=P
And then multiply P with other sides except the hypotenuse</description>
		<content:encoded><![CDATA[<p>And for a right angled triangle.<br />
This is the formula.<br />
A,B,C are Vertices<br />
AC is hypotenuse.</p>
<p>90/(AB+BC)=P<br />
And then multiply P with other sides except the hypotenuse</p>
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		<title>By: flamefletcher</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-14655</link>
		<dc:creator>flamefletcher</dc:creator>
		<pubDate>Thu, 05 Jul 2012 13:17:26 +0000</pubDate>
		<guid isPermaLink="false">http://www.quickermaths.com/?p=2732#comment-14655</guid>
		<description>To find out the angles of an Obtuse angled triangle and other side.
Use the  Parallelogram law of vectors in Physics.
Google it and you will find the formula.</description>
		<content:encoded><![CDATA[<p>To find out the angles of an Obtuse angled triangle and other side.<br />
Use the  Parallelogram law of vectors in Physics.<br />
Google it and you will find the formula.</p>
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		<title>By: flamefletcher</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-14654</link>
		<dc:creator>flamefletcher</dc:creator>
		<pubDate>Thu, 05 Jul 2012 13:15:06 +0000</pubDate>
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		<description>yeah surya you are right.
I found out now that my theory is only true for Acute angled triangles.
Not for right angled traingles and for obtuse triangles.
The example i took below is an obtuse angled triangle.
You can test it with any acute angled triangle and tell me the result and if you can .... prove thats also wrong.</description>
		<content:encoded><![CDATA[<p>yeah surya you are right.<br />
I found out now that my theory is only true for Acute angled triangles.<br />
Not for right angled traingles and for obtuse triangles.<br />
The example i took below is an obtuse angled triangle.<br />
You can test it with any acute angled triangle and tell me the result and if you can &#8230;. prove thats also wrong.</p>
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		<title>By: surya</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-14609</link>
		<dc:creator>surya</dc:creator>
		<pubDate>Tue, 03 Jul 2012 01:29:26 +0000</pubDate>
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		<description>sorry i was referring to the flamefletcher method to find angles given the sides of a triangle.</description>
		<content:encoded><![CDATA[<p>sorry i was referring to the flamefletcher method to find angles given the sides of a triangle.</p>
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		<title>By: surya</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-14607</link>
		<dc:creator>surya</dc:creator>
		<pubDate>Mon, 02 Jul 2012 16:21:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.quickermaths.com/?p=2732#comment-14607</guid>
		<description>The first comment i guess is not correct relating to finding the angles of the triangle given the sides of the triangle. the example given is also absurd where 2 6 10 will not form a triangle as(2+6&lt;10 which cant be a triangle) also one can cross check for 3 4 5 sides of a right triangle where the given formula does not give right angle to any angle of the triangle. Correct me if i am wrong.</description>
		<content:encoded><![CDATA[<p>The first comment i guess is not correct relating to finding the angles of the triangle given the sides of the triangle. the example given is also absurd where 2 6 10 will not form a triangle as(2+6&lt;10 which cant be a triangle) also one can cross check for 3 4 5 sides of a right triangle where the given formula does not give right angle to any angle of the triangle. Correct me if i am wrong.</p>
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		<title>By: FlameFletcher</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-14504</link>
		<dc:creator>FlameFletcher</dc:creator>
		<pubDate>Wed, 27 Jun 2012 14:14:25 +0000</pubDate>
		<guid isPermaLink="false">http://www.quickermaths.com/?p=2732#comment-14504</guid>
		<description>Ok well let me submit something.
I hope you will like it vineet.
In a triangle.
we know the relation ship between sides and angles with trignometry.
but how can we find out angles if we know the sides in a simple method?
use &#039;&amp;&#039; as the proportionality symbol.
in a triangle ABC the side opposite to angleA is BC , side opposite to angleC is AB etc.
so as the side AB increases then angleC definitely increases. right?
so
AngleA &amp; BC (&amp; ---&gt; means directly proportional to)
AngleB &amp; AC
AngleC &amp; AB

Let &#039;P&#039; be a constant.

AngleA = P(BC) -----&gt; 1
AngleB = P(AC) ------&gt;2
AngleC = P(AB) ------&gt;3

Adding 1,2,3 we get......
AngleA+AngleB+AngleC = P(BC+AC+AB)

But AngleA+AngleB+AngleC = 180

therefore, 180= P(BC+AC+AB)

=&gt; P= 180/(BC+AC+AB)

from formula if we know the 3 sides of a triangle we can find the constant &#039;P&#039;.
and to get an angle.
AngleA = P(BC)
so multiply P with a side opposite to the angle to get that angle.

here is an Example sum.


2,6,10 are the 3 sides of a triangle. Find out all their angles.

From my formula above, P = 180/(AB+BC+CA)
AB+BC+CA = 2+6+10 = 18

=&gt; P=180/18
        =10

 therefore P=10 degrees per unit distance.
that means if there is an increase of 1 unit distance then the angle opposite to that side increases by 10 degrees.

AngleA = 10(BC) = 10(2) = 20 degrees
AngleB = 10(CA) = 10(6) = 60 degrees
AngleC = 10(AB) = 10(10)=100 Degrees

Therefore the angles are found.

Note: This formula can be used for any type of triangle and this formula is 100% usable and proved. 

Note:The value of P is different for different triangles. So we always have to find P before finding angles.
Feel Free to use it and please publish this on this site.</description>
		<content:encoded><![CDATA[<p>Ok well let me submit something.<br />
I hope you will like it vineet.<br />
In a triangle.<br />
we know the relation ship between sides and angles with trignometry.<br />
but how can we find out angles if we know the sides in a simple method?<br />
use &#8216;&amp;&#8217; as the proportionality symbol.<br />
in a triangle ABC the side opposite to angleA is BC , side opposite to angleC is AB etc.<br />
so as the side AB increases then angleC definitely increases. right?<br />
so<br />
AngleA &amp; BC (&amp; &#8212;&gt; means directly proportional to)<br />
AngleB &amp; AC<br />
AngleC &amp; AB</p>
<p>Let &#8216;P&#8217; be a constant.</p>
<p>AngleA = P(BC) &#8212;&#8211;&gt; 1<br />
AngleB = P(AC) &#8212;&#8212;&gt;2<br />
AngleC = P(AB) &#8212;&#8212;&gt;3</p>
<p>Adding 1,2,3 we get&#8230;&#8230;<br />
AngleA+AngleB+AngleC = P(BC+AC+AB)</p>
<p>But AngleA+AngleB+AngleC = 180</p>
<p>therefore, 180= P(BC+AC+AB)</p>
<p>=&gt; P= 180/(BC+AC+AB)</p>
<p>from formula if we know the 3 sides of a triangle we can find the constant &#8216;P&#8217;.<br />
and to get an angle.<br />
AngleA = P(BC)<br />
so multiply P with a side opposite to the angle to get that angle.</p>
<p>here is an Example sum.</p>
<p>2,6,10 are the 3 sides of a triangle. Find out all their angles.</p>
<p>From my formula above, P = 180/(AB+BC+CA)<br />
AB+BC+CA = 2+6+10 = 18</p>
<p>=&gt; P=180/18<br />
        =10</p>
<p> therefore P=10 degrees per unit distance.<br />
that means if there is an increase of 1 unit distance then the angle opposite to that side increases by 10 degrees.</p>
<p>AngleA = 10(BC) = 10(2) = 20 degrees<br />
AngleB = 10(CA) = 10(6) = 60 degrees<br />
AngleC = 10(AB) = 10(10)=100 Degrees</p>
<p>Therefore the angles are found.</p>
<p>Note: This formula can be used for any type of triangle and this formula is 100% usable and proved. </p>
<p>Note:The value of P is different for different triangles. So we always have to find P before finding angles.<br />
Feel Free to use it and please publish this on this site.</p>
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	<item>
		<title>By: Vilas Thakur</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-14268</link>
		<dc:creator>Vilas Thakur</dc:creator>
		<pubDate>Mon, 11 Jun 2012 13:38:46 +0000</pubDate>
		<guid isPermaLink="false">http://www.quickermaths.com/?p=2732#comment-14268</guid>
		<description>Hello , thanks admin for writing so many methods , tricks , techniques for solving Additions ,Subtractions , Multiplications &amp; Divisions in Quicker math”s ! Interested students are requested to Learn one by one to know Basic Math’s &amp; Vedic Maths !! I am also one of the Tutor to teach Basic Math’s &amp; Vedic Maths as Home Tuition Classes &amp; through Mail id for Outstation Students .To know more details please do write on my mail id is basic.maths483@gmail.com thanks once again Quicker Math’s * I have passed M.Sc. ( STAT ) in Ist class from Nagpur University in 1981 .</description>
		<content:encoded><![CDATA[<p>Hello , thanks admin for writing so many methods , tricks , techniques for solving Additions ,Subtractions , Multiplications &amp; Divisions in Quicker math”s ! Interested students are requested to Learn one by one to know Basic Math’s &amp; Vedic Maths !! I am also one of the Tutor to teach Basic Math’s &amp; Vedic Maths as Home Tuition Classes &amp; through Mail id for Outstation Students .To know more details please do write on my mail id is <a href="mailto:basic.maths483@gmail.com">basic.maths483@gmail.com</a> thanks once again Quicker Math’s * I have passed M.Sc. ( STAT ) in Ist class from Nagpur University in 1981 .</p>
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		<title>By: MARS</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-13584</link>
		<dc:creator>MARS</dc:creator>
		<pubDate>Wed, 02 May 2012 03:29:00 +0000</pubDate>
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		<description>Good working. But its some what confuse &amp; difficult to understand at a glance.</description>
		<content:encoded><![CDATA[<p>Good working. But its some what confuse &amp; difficult to understand at a glance.</p>
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		<title>By: Vedic Maths Course</title>
		<link>http://www.quickermaths.com/the-criss-cross-method-an-alternative-form-of-multiplication/comment-page-1/#comment-13570</link>
		<dc:creator>Vedic Maths Course</dc:creator>
		<pubDate>Mon, 30 Apr 2012 17:04:25 +0000</pubDate>
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		<description>[...] Vertically and crosswise multiplications - criss-cross method [...]</description>
		<content:encoded><![CDATA[<p>[...] Vertically and crosswise multiplications &#8211; criss-cross method [...]</p>
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