Question

How do you find the area of triangle ABC given a=5, b=6, c=5?

Answer 1

Area of triangle is `12`

Explanation:

Given three sides we can find the area o a triangle using Heron's formula, which states that if three sides of a triangle are `a`, `b` and `c`, its area is given by

`Delta=sqrt(s(s-a)(s-b)(s-c))`, where `s=1/2(a+b+c)`

As the sides of triangle are `5`, `6` and `5`

`s=1/2(5+6+5)=1/22xx16=8`

and area is given by

`Delta=sqrt(8(8-5)(8-6)(8-5))`

= `sqrt(8xx3xx2xx3)`

= `sqrt(2xx2xx2xx2xx3xx3)`

= `2xx2xx3`

= `12`