P (3, 2)
Q (7, 2)
R (7, 4)

The coordinates of points P, Q, and R in the xy-plane are given above. What is the perimeter of triangle PQR ?

(A) 12
(B) 14
(C) 10.47
(D) 11.66
(E) 12.81

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Answer:

Choice C
Level of Difficulty E M H

A quick sketch of this triangle (which is absolutely necessary) will reveal a right triangle with legs of length 2 and 4. The hypotenuse is easily determined to be the square root of 20 using Pythagorean's Theorem. The perimeter, by definition, is the sum of the lengths of the three sides, giving an answer of 10.47, or choice C.

For more practice on triangle problems, go to Skill Set 8: Triangles.

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