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

1 Answer
Apr 11, 2018

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

Explanation:

![https://www.onlinemathlearning.com/http://area-triangle.html](https://useruploads.socratic.org/XqHCW0wCRR6b02lmP2ts_area%20of%20triangle.png)

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"