Question

In ΔABC, if a = 18, b = 24, c = 30 then find the values of tan `A/2`

Answer 1

Given : a = 18, b = 24 and c = 30
∴ 2s = a + b + c
= 18 + 24 + 30
= 72
∴ s = 36
`tan  "A"/(2) = (sin  "A"/2)/(cos  "A"/2)`

= `((1)/sqrt(10))/((3)/sqrt(10)`

= `(1)/(3)`.