Triangle LMN has sides measuring 7 meters and 6 meters and a

Triangle LMN has sides measuring 7 meters and 6 meters and a perimeter of 16 meters. Heron\'s formula: Area = Squareroot s (s - a) (s - b) (s - c) What is the area of triangle LMN? Round to the square meter. 3 square meters 9 square meters 28 square meters 34 square meters

Solution

Perimeter is 16

Third side = 16-7-6 = 3

So, the area of triangle is :

s = a+b+c /2 = 16/2 = 8

By applying the Hero\' formula we have:

Area = sqrt( 8*1*2*5) = sqrt(80) ~= sqrt(81) = 9

Option B is right