Finding Unknown Side Lengths in Triangles

This video tutorial explains how to find unknown side lengths of similar triangles using proportions. It begins with an introduction to similar triangles and the concept of setting up proportions based on similarity statements. The tutorial then demonstrates how to set up and solve these proportions to find unknown side lengths, using cross multiplication to derive solutions.

What is the main objective of the video tutorial?

• To calculate the perimeter of triangles

• To find the area of similar triangles

• To find the unknown side lengths of similar triangles

• To understand the properties of congruent triangles

What can be derived from a similarity statement of triangles?

• The angles of the triangles

• The area of the triangles

• Proportions for the sides of the triangles

• The perimeter of the triangles

Which sides are proportional in similar triangles MNP and QSR?

• MN and QS

• MP and SR

• NP and QS

• MN and QR

How do you set up a proportion for the sides MN and QS?

• MN is to SR as MP is to QS

• MN is to QS as MP is to QR

• MN is to QR as NP is to SR

• MN is to QS as NP is to SR

What is the known length of side MN?

• 15

• 12

• 10

• 8

What is the known length of side QR?

• 8

• 10

• 12

• 15

Which side length is left blank because it is unknown?

• MP

• QS

• QR

• MN

What is the known length of side MP?

• 12

• 8

• 10

• 15

What is the known length of side NP?

• 12

• 15

• 10

• 8

What is the first step in solving the proportion 10 is to QS as 8 is to 12?

• Divide both sides by 12

• Add 8 to both sides

• Subtract 10 from both sides

• Cross-multiply the terms