Question

How do I solve?
Joshua used two wood beams, PC and QA, to support the roof of a model house. The beams intersect each other to form two similar triangles QRP and ARC, as shown in the figure below. The length of segment PR is 4.8 inches, and the length of segment CR is 7.2 inches. The distance between A and C is 9.6 inches.

Answer 1

What is the distance between the endpoints of the beams P and Q?

Answer 2

7.2 inches

3.6 inches

6.4 inches

12.0 inches

Answer 3

as they are similar
shouldnt they be in similar ratio

Answer 4

so PR/RC = PQ/AC

Answer 5

so put the values and find the answer

Answer 6

CR is the same as RC right?

Answer 7

yes

Answer 8

So 4.8/7.2?

Answer 9

4.8/7.2 = pq/9.8
PQ = 4.8*9.8/7,2

Answer 10

PQ = 6.5?

Answer 11

6.4 yes