Question

In the figure below, triangle ABC is similar to triangle PQR:

A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 16, length of BC is 20. A similar right triangle; triangle PQR, which is triangle ABC enlarged and reflected across a horizontal line, is drawn near it. The right angle is at Q. Angle A is congruent to angle P and angle C is congruent to angle R. The length of QR is 80.

What is the length of side PQ?

Answer 1

@Zale101 @FaithSmith5 Could you please help?

Answer 2

similar triangles mean the angle are the same and the sides are proportional for example if k is some number... then triangle's sides on the right is k times bigger than triangles side on the left

Answer 3

you think u can find us this k number? how much bigger do you think the triangle on the right is

Answer 4

Hmm... 4 times bigger?

Answer 5

yeah good

Answer 6

Yay!! Sooo is the answer 64? :)

Answer 7

so look at how the triangle is named u can tell all similar sides from that
ABC to PQR
AB and PQ are in same position
AB=16
PQ=4*16=64

Answer 8

yep

Answer 9

:D Thank you so much!

Answer 10

you'r welcome