Heron's formula: Area = Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round to the nearest square inch. aquare inches

The heron formula is given by:

A = root ((s) * (s-a) * (s-b) * (s-c))

Where,

s = (a + b + c) / 2

We must calculate the third side of the triangle:

a + b + c = 50

Substituting:

22 + 13 + c = 50

Clearing c we have:

c = 50-22-13

c = 15

Substituting the values in the formula we have:

s = (22 + 13 + 15) / 2

s = 25

Then, the area will be:

A = root ((25) * (25-22) * (25-13) * (25-15))

A = 94.86832981

Rounding off we have:

A = 95 in ^ 2

Answer:

the area of triangle RST is:

A = 95 in ^ 2