Given triangle EFG below, If e = 37 cm, f = 49 cm, and g = 42 cm, what is the area, A, of the triangle to the nearest square centimeter. *

Question

Given triangle EFG below, If e = 37 cm, f = 49 cm, and g = 42 cm, what is the area, A, of the triangle to the nearest square centimeter. *

Answer 1

s= e + f + g / 2 s = 37 + 49 + 42 /2 = 64

Area of triangle A = √ s( s-e)(s-f)(s-g) = √64(64-37)(64-49)(64-42) = 755.14cm²

Answer 2

Use Heron's Formula

A = √(s(s - 42)(s - 37)(s - 49)), where s = (42 + 37+ 49) / 2