Question

in a parallelogram ABCD ac is a diagonal if the area of abcd is 180 cm ^2 find the area of triangle abc

Answer 1

Explanation:

In a parallelogram, when a diagonal is drawn, it divides the parallelogram into two congruent triangles. So, the area of each of these triangles is half of the area of the parallelogram.

Given that the area of parallelogram ABCD is 180 cm², the area of triangle ABC is:

Area of triangle ABC = (1/2) * Area of parallelogram ABCD

Area of triangle ABC = (1/2) * 180 cm²

Area of triangle ABC = 90 cm²

So, the area of triangle ABC is 90 cm².