Question

In ΔABC, if a = 18, b = 24, c = 30 then find the values of A(ΔABC)

Answer 1

Given: a = 18, b = 24 and c = 30
∴ 2s = a + b + c
= 18 + 24 + 30
= 72
∴ s = 36

`A(ΔABC) = sqrt(s(s - a)(s - b)(s - c)`
`= sqrt(36(36 - 18)(36 - 24)(36 - 30)`

`= sqrt(36 xx 18 xx 12 xx 6)`

`= sqrt(36 xx 18 xx 4 xx 18)`

= 6 x 18 x 2

= 216 sq units.