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abcd is an parallelogram,draw one diagonal then it gives 2 triangles is that 2 triangles area is equal or not??

 Aug 25, 2015

Best Answer 

 #1
avatar+129852 
+10

Yep...the diagonal of any parallelogram always divides the parallelogram into two equal triangles....we can prove this with Side-Side-Side congruency......

 

The diagonal will be common to both triangles, and by definition, the other two respective sides are equal [and parallel]. Thus, the two triangles are congruent.

 

 

 Aug 25, 2015
 #1
avatar+129852 
+10
Best Answer

Yep...the diagonal of any parallelogram always divides the parallelogram into two equal triangles....we can prove this with Side-Side-Side congruency......

 

The diagonal will be common to both triangles, and by definition, the other two respective sides are equal [and parallel]. Thus, the two triangles are congruent.

 

 

CPhill Aug 25, 2015
 #2
avatar+238 
0

well ok and the area of that 2 triangles are equal or not??????

 Aug 25, 2015
 #3
avatar+129852 
0

Yeah...if the triangles are congruent, then their areas are equal.....

 

 

 

 Aug 25, 2015

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