Question

if a triangle and parallelogram lie on the same base and between the same parallels then prove that the area of the triangle is eqal to half of the area of parallelogram

Answer 1

Hi. Here is it answere

Given

A parallelogram and triangle are on the same base and between same parallel lines

To proof =area of triangle is half area of parallelogram

Let common base =AB
And common height =X
area of triangle =1/2×base ×Height

And area of parallelogram =base×height

Area of triangle /area of parallelogram =1/2×ab×x/ab×x
=1/2
Hence proof