Question

the perimeter of an isosceles triangle is 55 cm if it's hypotenuse is 25 cm find its area

Answer 1

Answer:

112.5cm²

Step-by-step explanation:

In an isosceles triangle 2 sides are equal.

perimeter = 55cm.

let one unknown side be x

so, x+x+25=55

2x+25=55

2x=30

x=15cm

so the length of the sides of the triangle will be 15cm, 15cm and 25 cm

since it has a hypotenuse, the angle opposite to the hypotenuse will be a right angle thus the isosceles triangle is a right angled triangle.

so, area of the triangle will be (b*h)/2

=(15*15)/2

=225/2

=112.5cm²