Approximate the area of triangle ABC. (Round your answer to one decimal place.)

Question

Approximate the area of triangle ABC. (Round your answer to one decimal place.)

a = 15.0,     b = 65.0,     c = 55.0.

Answer 1

To compute the area of a triangle given three sides use Heron's Formula.

s1 = 15, s2 = 65, s3 = 55

s = s1+ s2 + s3 / 2 = 67.5

area = [s(s-s1)(s-s2)(s-3)]^0.5 = [67.5*(67.5-15)*(67.5-65)*(67.5-55)]^0.5

= [67.5 * 52.5 * 2.5 * 12.5]^0.5 = 332.8