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.

A triangle is drawn to represent the roof with A and C representing the vertices of the horizontal base of the triangle. Two be

What is the distance between the endpoints of the beams P and Q? (6 points)


3.2 inches
3.7 inches
4.2 inches
4.4 inches

Answer 1

For similar triangles, the sides are proportional:
\[\frac{PQ}{4.9} = \frac{3.7}{5.6}\]

Answer 2

So?

Answer 3

3.2 ? @dumbcow

Answer 4

hi

Answer 5

btw u are correct