How do you use Heron's formula to find the area of a triangle with sides of lengths #6 #, #7 #, and #7 #?

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Answer 1 · 2016-01-25T13:24:13

#6sqrt10# #sq.cm^2#

Use Heron's formula:-
#sqrt[s(s-a)(s-b)(s-c)]#
Where #s#=semi-perimeter of triangle=#(a+b+c)/2#

So,#a=6,b=7,c=7,s=10=(6+7+7)/2=20/2#

#rarrsqrt[s(s-a)(s-b)(s-c)]#

#rarrsqrt[10(10-6)(10-7)(10-7)]#

#rarrsqrt[10(4)(3)(3)]#

#rarrsqrt[10(36)]#

#rarrsqrt360=6sqrt10#