Question

Triangle KLM has KL=32, KM= 27, and LM= 21. what is the area of the triangle?

Answer 1

281.15 cm²

Explanation:

semi perimeter ( s ) = ( a + b + c ) / 2

=( KL + LM + KM ) / 2

=(32+21+27)/2

= 80/2

=40

Area of triangle =

`√(s \: (s - a) \: (s - b)(s - c))`

`√(40(40 - 32)(40 - 21)(40 - 27))`

`√(40 * 8 * 19 * 13)`

`√(79040)`

`281.15cm {}^(2)`