Use an appropriate area formula to find the area of the tria

Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 16 m b = 7 m c = 10 m What is the area of the triangle? m^2 (Round your answer to the nearest tenth)

Solution

Area of the triangle with 3 sides given can be calculated using heron\'s formula -

A = (s (s-a) (s-b)(s-c))^0.5

s = (a+b+c)/2

s = (16+7+10)/2 = 33/2 = 16.5

A = (16.5 (16.5-16) (16.5-7)(16.5-10))^0.5

A = 22.57 m²