Consider Heron's Formula.

Question

Consider Heron's Formula.

If the three sides of a triangle have lengths a, b, and c, then the area A of the triangle is given by A = s(s − a)(s − b)(s − c)  where the semiperimeter of the triangle is s = 1/2 (a+b+c).

,

(a. )Find the semi perimeter (in inches) of a triangle whose sides measure 12 in., 16 in., and 20 in.

s =   

(b) Using Heron's Formula, find the area (in square inches) of a triangle whose sides measure 12 in., 16 in., and 20 in.

A =  

Answer 1

Just use the formulas that are given:

a) s = (1/2) (a + b + c) where a=12, b=16, c=20 inches

b) √[s(s-a)(s-b)(s-c)] where the value of s comes from part (a) above and a=12, b=16, c=20 inches

Answer 2