How do you use Heron's formula to find the area of a triangle with sides of lengths 7, 5, and 8?

1 Answer
Veddesh ϕ
Jan 25, 2016

10√3 sq.cm2

Explanation:

Use Heron's formula:-
√s(s−a)(s−b)(s−c)
Where s=semi-perimeter of triangle=a+b+c2

So,a=7,b=5,c=8,s=10=7+5+82=202

→√s(s−a)(s−b)(s−c)

→√10(10−7)(10−5)(10−8)

→√10(3)(5)(2)

→√10(30)

→√300=10√3

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