Question

How do you find the area of a triangle with a=15, b=17, c=10?

Answer 1

Use Heron's formula to get

Explanation:

Heron's formula for the area of a triangle with sides of length `a, b, c` is
`color(white)("XXX")A= sqrt(s(s-a)(s-b(s-c))`
where `s` is the semi-perimeter (that is, `(a+b+c)/2`)

Given `a=15, b=17, c=10`
`s=21`
and
`A= sqrt(21 * (21-15) * (21-17) * (21-10))`

`color(white)("XX")=sqrt(21*6*4*11)`

`color(white)("XX")=sqrt(5544)`

`color(white)("XX")~=74.46`