14
practice examMultiple Choice

Practice Exam

Question 14 • Geometry

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. Heron’s formula: Area is equal to square root of s open paren s minus A close paren open paren s minus b close paren open paren s minus c close paren end root

Answer
A
19 square inches
B
37 square inches
C
95 square inches
D
60 square inches

Explanation

The third side is 50 − 22 − 13 = 15 inches. The semiperimeter is s = 50 ÷ 2 = 25, so Heron’s formula gives area = √(25 × 3 × 12 × 10) = √9000 ≈ 94.9 square inches. Rounded to the nearest square inch, the area is 95 square inches, choice C.

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