Question

I am not getting correct answer pls help​

Answer 1

Answer:

let the sides of triangle be a,b,c

Step-by-step explanation:

a = 11cm

b-c = 5 => b = c + 5 ————— eq 1

perimeter= a+b+c

32 = 11 + b + c

32 = 11 + c+5 + c

32 - 16 =2c

=> c = 8 cm

=> in eq 1

b = 8 + 5 = 13cm

by heron's formula,

perimeter/2 => S = 16

area = √ S ( S-a)(S-b)(S-c)

= √ 16 × 5 × 3 × 8

= √ 2⁶× 5×3×2

= 2³ √ 30

= 8√30 cm²