Find the area of the triangle with the given side lengths a

Find the area of the triangle with the given side lengths, a = 5.8, b = 9.7, c = 14.7 What is the area of the triangle? (Round to the nearest tenth.)

Solution

given a=5.8, b=9.7,c=14.7

s=(a+b+c)_/2

s=(5.8+9.7+14.7)_/2

s=15.1

area of triangle A=[s(s-a)(s-b)(s-c)]

area of triangle A=[15.1(15.1-5.8)(15.1-9.7)(15.1-14.7)]

area of triangle A=17.4