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

1 Answer
Alan P.
Oct 4, 2015

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

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