A triangle and a parallelogram have the same base and area If the sides of a triangle are 40cm, 24cm - Maths - Areas of Parallelograms and Triangles

Question

A triangle and a parallelogram have the same base and area If
the sides of a triangle are 40cm, 24cm and 32cm and the
parallelogram stands on the base 40cm Find the height of the
Parallelogram

Ayush Jha · Accepted Answer

Given: sides of âˆ† are 40 cm, 24 cm, 32 cm $\Rightarrow semi perimeter of Δ = \frac{(40 + 24 + 32)}{2} cm = 48 cm ∴ Area of Δ = \sqrt{48 (48 - 40) (48 - 24) (48 - 32)} {cm}^{2} = \sqrt{147456} {cm}^{2} = 384 {cm}^{2}$ Now area of â•‘gm = area of âˆ† â‡’ 40 cm Ã— height = 384 cm2 $\Rightarrow height = \frac{384}{40} cm = 9 6 cm$ Hence height of the â•‘gm is 9 6 cm

A triangle and a parallelogram have the same base and area.If the sides of a triangle are 40cm, 24cm and 32cm and the parallelogram stands on the base 40cm. Find the height of the Parallelogram