التشابه:المستقيمات المتوازية والأجزاء المتناسبة - حل مسائل

The video tutorial explains how to find the length of side TQ in a geometric figure using the concept of triangle similarity and proportionality. The problem is set up by providing the lengths of other sides, and the solution involves setting up a proportion based on the similarity of triangles. The calculation is completed by solving the proportion to find the unknown length of TQ.

What are the given side lengths of the triangle in the problem?

• PS = 15, SR = 5, PT = 12.5

• PS = 12.5, SR = 5, PT = 15

• PS = 10, SR = 5, PT = 20

• PS = 12.5, SR = 10, PT = 15

What concept allows us to use the proportion theorem in this problem?

• The triangles are isosceles

• The triangles are right-angled

• The triangles are similar

• The triangles are congruent

Which proportion is set up to find the length of TQ?

• TQ/PT = SR/PS

• TQ/SR = PT/PS

• TQ/PS = SR/PT

• TQ/PT = PS/SR

What is the result of the cross-multiplication step in solving for TQ?

• 5 * TQ = 75

• 15 * TQ = 75

• 10 * TQ = 75

• 12.5 * TQ = 75

What is the final calculated length of TQ?

• 5

• 7

• 8

• 6