Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST?
+128475 The remaining side = 50 - 22 - 13 = 15
The semi-perimeter, S, of this triangle = 50 / 2 = 25
Using Heron's Formula, the area, A, =
√ [ S (S - 15) ( S - 22) (S - 13) ] =
√ [ 25 * ( 25 - 15) * ( 25 - 22) * (25 - 13) ] =
√ [ 25 * 10 * 3 *12 ] =
5 * √[3 *10 * 12 ] =
5 * √ [ 36 * 10 ] =
5*6 * √10
30 √ 10 units^2
