Use Herons formula to find the area of the triangle Round to

Use Heron\'s formula to find the area of the triangle. Round to the nearest square unit. a=11.664 inches,b=15inches c=4 inches

Solution

semiperimeter , s = (a+b+c)/2 = (11.664 + 15 + 4)/2 = 15.332 inch

area = sqrt[ s x (s-a) x (s-b) x (s-c)]

= sqrt[ 15.332 x 3.668 x 0.332 x 11.332]

= sqrt[ 211.579]

= 14.54576 square inch