How do you use Heron's formula to determine the area of a triangle with sides of that are 12, 7, and 10 units in length?

1 Answer
Feb 7, 2016

A=(sqrt(210))/2 sq.cm

Explanation:

Heron's formula

s=(a+b+c)/2

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

In your question
triangle with side lengths of 12,7,10

s=(12+7+10)/2
s=19/2

A=sqrt(19/2(19/2-7)(19/2-12)(19/2-10))
A=sqrt(12/2(14/2)(-5/2)(-1/2))
A=sqrt(840/16)
A= (2sqrt(210))/4
A=(sqrt(210))/2 sq.cm