Question

The perimeter of a right triangle is 40cm and it's hypotenuse measures 17cm. Find the area of the triangle.​

Answer 1

Answer:

The area of the triangle will be 60 cm²

Step-by-step explanation:

Let the base = b

perpendicular = p

hypotenuse = h = 17

The area of a right angled triangle is given by,

A = 1/2 x base x perpendicular = bp/2

Given,

perimeter = 40

b + p + h = 40

=> b + p + 17 = 40

=> b + p = 23

squaring both the sides we get,

b² + p² + 2bp = 23² = 529

but in a right angled triangle,

b² + p² = h² = 17² = 289

So,

289 + 2bp = 529

=> 2bp = 529 - 289 = 240

=> bp/2 = 240/4 = 60

hence the area of the triangle will be 60 cm²

HOPE IT HELPS YOU