Semi-perimeter of triangle = (17 + 8 + 10) / 2 = 35/2 = 17.5 =S
Let the sides be A, B ,C
Area =
sqrt [ S ( S - A) (S - B) ( S - C) ] so we have
sqrt [ 17.5 ( 17.5 -17) (17.5 - 10) ( 17.5 -8 ) ] =
sqrt [ 17.5 * .5 * 7.5 * 9.5 ] =
sqrt [ 623.4375 ] ≈
24.97 units^2
