Question

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.



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

7.2 inches

3.6 inches

6.4 inches

12.0 inches

Answer 1

since the 2 triangles are similar,use their ratio of similitude

Answer 2

@jim_thompson5910

Answer 3

the two triangles QRP and ARC are similar (this is given)

Answer 4

so their sides are proportional

Answer 5

their corresponding sides I mean

Answer 6

So

RC/PR = AC/PQ

7.2/4.8 = 9.6/x

Solve that for x to get your answer

Answer 7

how do u solve it

Answer 8

cross multiply to get

7.2x = 4.8*9.6

7.2x = 46.08

Answer 9

what's next?

Answer 10

divide

Answer 11

both sides by what?

Answer 12

7.2

Answer 13

yes, to get what

Answer 14

0.15625

Answer 15

you divided in the wrong order

Answer 16

oh

Answer 17

tell me what you get when you fix this error

Answer 18

6.4