Question

The diagonal of a parallelogram is 30 cm in length. Two perpendiculars are drawn on the
diagonal from the opposite vertices are 10 cm and 8 cm. Find the area of the parallelogram.​

Answer 1

Answer:

270 cm²

Step-by-step explanation:

Diagonal divides Let AC be the diagonal

So, AC = 30 cm (base of triangle)

Perpendicular's length = 10 cm and 8 cm (height of triangle)

Area of parallelogram = Sum of areas of both triangles

                                     = 1/2 base * height + 1/2 base * height

                                     = 1/2 base( 8 + 10 )

                                     = 1/2 * 30 (18)

                                     = 15*18

                                     = 270 cm²

I am having a slight doubt that diagonals of a parallelogram divide it into 2 congruent, so the altitudes should not be unequal, they should be equal.

If you get it, then do tell me

Anyways, I have answered your question by the general method, so that's the answer.