SOLUTION: Which of the following is the closest approximation of the perimeter of triangle PQR given P(4, 5), Q(-4, 2), and R(10, 13)? a.37.38 b.36.35 c.22.14 d.30 *HELP NEEDEDDDD!!!!

Algebra ->  Triangles -> SOLUTION: Which of the following is the closest approximation of the perimeter of triangle PQR given P(4, 5), Q(-4, 2), and R(10, 13)? a.37.38 b.36.35 c.22.14 d.30 *HELP NEEDEDDDD!!!!      Log On


   



Question 625736: Which of the following is the closest approximation of the perimeter of triangle PQR given P(4, 5), Q(-4, 2), and R(10, 13)?
a.37.38
b.36.35
c.22.14
d.30
*HELP NEEDEDDDD!!!!*******
♥Thanks!

Found 2 solutions by solver91311, jim_thompson5910:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the distance formula three times to determine the measure of each side, then total them.

The distance between two points in is given by



where and are the coordinates of the given segment end points.

John

My calculator said it, I believe it, that settles it
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use this solver to find the distance between P and Q to get 8.5440037 units (this is approximate)


Note: this solver will walk you through the formula and the steps needed to find the distance between any two points.


Use the same solver to find the distance between Q and R to get 17.8044938 units (approximately)


Finally, use the same solver again to find the distance from P to R to get 10 units



Now add up the three distances: 8.5440037 + 17.8044938 + 10 = 36.3484975

This rounds to 36.35 units


So....

Which of the following is the closest approximation of the perimeter of triangle PQR given P(4, 5), Q(-4, 2), and R(10, 13)?

a. 37.38
b. 36.35
c. 22.14
d. 30

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