Question

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

Answer 1

D

Explanation:

Answer 2

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