Proportions and Similar Triangles

The video tutorial explains how to find the value of X in similar triangles by using the property that the ratios of corresponding sides are equal. It demonstrates solving for X using cross multiplication with two different sets of corresponding sides, both leading to the same result, X equals 48.

What is the relationship between the sides of similar triangles?

• The sides are equal in length.

• The sides are in proportion.

• The sides are perpendicular.

• The sides are parallel.

If two triangles are similar and one has sides of 5, 12, and 13, what is the ratio of the smallest side of the first triangle to the smallest side of the second triangle if the second triangle's smallest side is 20?

• 5:13

• 1:3

• 5:20

• 1:4

How do you solve the proportion 5/20 = 12/X to find the value of X?

• Divide 20 by 5, then multiply by 12.

• Subtract 5 from 20, then multiply by 12.

• Multiply 5 by X and 20 by 12, then divide by 5.

• Add 5 and 20, then divide by 12.

What is the value of X when solving the proportion 5/20 = 12/X?

• 24

• 36

• 60

• 48

If you use the proportion 12/X = 13/52, what value do you get for X?

• 24

• 36

• 48

• 60