Question

Use the figure to answer the question.

Information
Triangle P Q R is graphed on a coordinate plane. Point P is at (3, 3). Point Q is at (5, 2). Point R is at (2, 1).

Question
What is the perimeter of triangle P Q R?

Answer options with 4 options
A.
5 units

B.
10 units

C.
StartRoot 5 EndRoot plus 3 StartRoot 2 EndRoot units

D.
2 StartRoot 5 EndRoot plus StartRoot 10 EndRoot units

Answer 1

Compute side lengths:
- PQ = sqrt((5-3)^2 + (2-3)^2) = sqrt(4+1) = √5
- PR = sqrt((2-3)^2 + (1-3)^2) = sqrt(1+4) = √5
- QR = sqrt((2-5)^2 + (1-2)^2) = sqrt(9+1) = √10

Perimeter = √5 + √5 + √10 = 2√5 + √10, so answer D.