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

Answer:

95 square inches

Step-by-step 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