How do you use Heron's formula to determine the area of a triangle with sides of that are 14, 9, and 13 units in length?

Question

1082 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-23T12:54:34

#18sqrt10sq.units#

Use Heron's formula:-
#sqrt(s(s-a)(s-b)(s-c)# Where #S=(a+b+c)/2#

So
#a=14,b=9,c=13,S=18=# #(9+13+14)/2#

#rarrsqrt[18(18-14)(18-13)(18-9)]#

#rarrsqrt[18(4)(5)(9)]#

#rarrsqrt[18(180)]#

#rarrsqrt3240#

#sqrt3240=18sqrt10#