Question

The base of an isosceles triangle measures 80 cm and its area is 360 cm*2.Find the perimeter of the triangle. ​

Answer 1

Answer:

178 cm.

Step-by-step explanation:

Given: base(b) = 80cm

area(A) = 360cm^2

height(h) = ?

equal sides(a) = ?

Solution:

• A = 1/2 bh

360 = 1/2×80×h

360 = 40×h

360/40 = h

h = 9cm

• h = √(a^2 - b^2/4)

9 = √a^2 - (80)^2/4

9 = a - 80/2

9 = a - 40

40+9 = a

a = 49cm

• P = 2a + b

= 2(49) + 80

= 98 + 80

P = 178cm.

I think its correct and helps you.