Question

5) Find the percentage increase in the area of the triangle if each side is doubled.​

Answer 1

Answer:

300%

Step-by-step explanation:

let original sides of triangle be a

By Herons Formula

s= 3a/2

√3a/2(3a/2-a)(3a/2-a)(3a/2-a)

by solving

a²√3/4

doubled sides 2a

s= 3a

√3a(3a-2a)(3a-2a)(3a-2a)

by solving

a²√3

% increase

change/ original × 100

3a²√3/4 ÷ a²√3/4 ×100

by solving

300%