Question

1.) What is the area of the triangle?
10.6 cm
10.6 cm
16 cm

Answer 1

A = 55.63 cm^2

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