A triangle has sides with lengths: 3, 8, and 9. How do you find the area of the triangle using Heron's formula?

1 Answer
mason m
Jan 17, 2016

A=2sqrt35

Explanation:

First, find the triangle's semiperimeter. This is used in Heron's formula.

s=(a+b+c)/2

Here, a,b,c are the sides of the triangle.

s=(3+8+9)/2=10

Heron's formula, which gives the area of a triangle, is

A=sqrt(s(s-a)(s-b)(s-c))

A=sqrt(10(10-3)(10-8)(10-9))

A=sqrt(10xx7xx2)

A=sqrt(2^2xx5xx7)

A=2sqrt35

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