1.) What is the area of the triangle?

10.6 cm

10.6 cm

16 cm

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