Question

the base of an isosceles triangle measures 80cm and it's area is 360cm2. find the perimeter of the triangle.

Answer 1

I hope this helps you!!
Vaibhav

Answer 2

Hi there!

Let us consider the Equal sides to be = x

by Pythagoras Theorem :-

Height, h = √x² - 40² = √x² - 1600

Given :-

Area if Triangle = 360

1 / 2 × 80 × √x² - 1600 = 360

40 × √x² - 1600 = 360

√x² - 1600 = 360 / 40

√x² - 1600 = 9

x² - 1600 = 81

x² = 1681

x = √1681 = 41

Therefore,

Perimeter of Triangle = 2x + 80

= 2 × 41 + 80

= 82 + 80

= 162 cm

Hence, The required answer is :-
Perimeter of Triangle = 162 cm

Hope it helps! :)