Answer:
A = 55.63 cm^2
Step-by-step explanation:
Let a,b,c be the lengths of the sides of a triangle. Heron's formula states that:
Area = √(p (p−a) (p−b) (p−c))
where p is half the perimeter, or
(a+b+c) / 2
So lets start by finding p:
(10.6 + 10.6 + 16) / 2
p = 18.6
Now lets substitute p and the other values into our equation:
A = √ (18.6 (18.6−10.6) (18.6−10.6) (18.6−16))
So let's plug this in to our calculators
A = √ (3095.04)
A = 55.633083682284 cm^2
