Question

The vertices of triangle PQR are listed below.

P(-5, 3), Q(-13, -3), R(-5, -9)
What is the perimeter of triangle PQR?
A.
32 units
B.
51 units
C.
22 units
D.
48 units

Answer 1

A. 32 units

Explanation:

First, we need to find all of the side lengths of triangle using distance formula:

• 
  `Distance = √((x2-x1)^2 + (y2-y1)^2)`

Now, we can calculate length of PQ, QR and PR sides by using their vertices and above formula:

• 
  `PQ=√((-13-(-5))^2+(-3-3)^2) =√(8^2+6^2)=10`
• 
  `QR=√((-5-(-13))^2+(-9-(-3))^2) =√(8^2+6^2)=10`
• 
  `PR=√((-5-(-5))^2+(-9-3)^2) =√(0^2+12^2)=12`

For perimeter we add up the length of all of its sides:

• 
  `Perimeter = PQ +QR + PR=10+10+12=32`