Question

side of equilateral triangle is decreased by 2cm .its area is decreased by 11√3 cm2​

Answer 1

Answer:

side of equilateral triangle = 20cm

Step-by-step explanation:

let, side of equilateral triangle = a

we know,

area of equilateral triangle = √3a²/4

A/Q,

√3(a+2)²/4 - √3a²/4 = 11√3

(a+2)²/4 - a²/4 = 11

(a+2)² - a² = 44

a²+2a+4 - a² = 44

2a+4 = 44

2a = 40

a = 20.