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 3.7 inches, and the length of segment CR is 5.6 inches. The distance between A and C is 4.9 inches.

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

3.2 inches
3.7 inches
4.2 inches
4.4 inches

Answer 1

The triangles PRQ and CRA are similar triangles

That allows us to set up this proportion

\[\Large \frac{4.9}{x}=\frac{5.6}{3.7}\]

cross multiply then solve for x

Answer 2

would it be A-3.2

Answer 3

`would it be A-3.2`
correct @Superwholock221

Answer 4

okay thanks again lol