Question

A triangle and parallelogram stand on the same base 50 metre and are equal in area. if other side of the triangle are 30m and 36m find the corresponding height of the parallelogram

Answer 1

So The sides of the triangle are 50m,30m and 36m.

Applying Heron's Formula,

S= Perimeter/2
= 116/2 = 58cm.

Where 3 sides are a,b,c.


√(s(s-a)(s-b)(s-c)).
=√(58×8×28×22)
=√285824
=534.6251cm square

So,The 2×area of triangle = Area of parallelogram.

2× 534.625 = 1069.25cm squared.

Area of Parallelogram= Base x height.

50 × Height = 1069.25
Height = 1069.25/50
=21.385 cm.

Hope that helps.

Answer 2

Please see the following attachment.