Question

Are my answers correct?

Answer 1

Explanation:

1. it is an equilateral triangle.

let base=2x

let h be the height from centre.

h/8=sin 30=1/2

h=1/2×8=4

so total height=8+4=12

again x/8=cos 60

x=(√3/2)×8=4√3

Base=2x=2×4√3=8√3

area of triangle=1/2×8√3×12=48√3 sq. units.

2.

one diagonal=3+8=11

second diagonal=5+5=10

area=1/2 d1d2=1/2×11×10=55 sq units