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

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Answer 1 · 2018-04-11T11:48:33

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

![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"#