Question

How do you solve the triangle given `triangleABC, a=15, b=25, c=12`?

Answer 1

`color(blue)(A_t = 63.28 "sq units"`

Explanation:

Given three sides `a = 15, b = 25, c = 12`

Area of the triangle can be found using the formula

`A_t = sqrt (s * (s-a) * (s-b) * (s-c)), "where " s = (a + b + c ) / 2`

`s = (15 + 25 + 12) / 2 = 26`

`A_t = sqrt(26 * (26 - 15) * (26 - 25) * (26 - 12))`

`color(blue)(A_t = sqrt (26 * 11 * 1 * 14) = 63.28 "sq units"`