Question

Area of a right-triangle is 84 cm and one of its sides
is 24 cm. Find the perimeter of the triangle.​

Answer 1

Step-by-step explanation:

Given that,

Area of Right - Triangle =84 cm

One of it's side =24 cm

Let,

another side be 'h'

A =(1/2)b.h

84 =(1/2)24.h

84 =24h/2 (cross multiplication)

168 =24h

h =168/24 = 07cm

so, therefore h = 07cm.

Answer 2

Answer:

The other side is 7cm.

The perimeter is 56cm.

Step-by-step explanation:

The area of the right-angle triangle is 84cm.

One side is 24cm

Other side 84=$\dfrac{bc}{2}$

84cm =$\dfrac{24c}{2}$

84cm =12c

c = $\dfrac{84}{12}$

c = 7 cm

By Pythagoras Theorem,

a² = b² + c²

a² = 24² + 7²

a² = 576+49

a² = 625 cm

a = 25 cm

Perimeter of triangle= a + b + c

25 + 24 + 7 = 56 cm