Using the drawing provided and fact that the area of a parallelogram is given by 
, show that the area of a triangle is given by 
.
What will be an ideal response?
For the parallelogram (
) with base length b and altitude length h, the area is given by 
. By the Area-Addition Postulate, 
. But diagonal 
of 
separates the parallelogram into 2 congruent triangles that have equal areas.
) with base length b and altitude length h, the area is given by . By the Area-Addition Postulate, . But diagonal of separates the parallelogram into 2 congruent triangles that have equal areas.By substitution, 
and by division (or multiplication), 
.
Mathematics
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