Understanding Similar Right Triangles

What is the relationship between the original right triangle and the two smaller triangles formed by the altitude?

• They are congruent.

• They are similar.

• They are unrelated.

• They are identical.

In the first triangle, if the altitude is X and one side is 36, what is the length of the other side?

• 36

• 48

• 100

• 64

For the second triangle, if the hypotenuse is 25 and the smaller side is X, what is the value of X?

• 9

• 15

• 25

• 36

In the third triangle, what is the missing length if the altitude is X and one side is 9?

• 12

• 16

• 9

• 25

What is the hypotenuse of the largest triangle in the fourth problem?

• 45

• 81

• X

• 25

What is the value of X in the fourth triangle if the hypotenuse is 81 and one side is 45?

• √3645

• 27√5

• 45

• 81

In the fifth triangle, if X is the altitude and one side is 9, what is the missing length?

• 3√7

• 7

• 9

• √7

For the sixth triangle, what is the simplified form of the missing length X?

• 4√21

• 16√21

• 2√21

• 8√21

What is the process used to find the missing length in these triangles?

• Addition

• Subtraction

• Proportions and cross-multiplication

• Division

How do you simplify a radical expression?

• By adding the numbers

• By finding the largest perfect square factor

• By multiplying the numbers

• By dividing the numbers