Right Triangle Similarity and Proportions Quiz

What does the theorem about the altitude in a right triangle state?

• The altitude creates two smaller triangles that are not similar to the larger triangle.

• The altitude creates two smaller triangles that are similar to the larger triangle.

• The altitude bisects the hypotenuse of the triangle.

• The altitude is always equal to the hypotenuse.

In problem 7, what is the value of x when the altitude is 12 and the longer side is 16?

• 10

• 9

• 11

• 8

In problem 8, what is the solution for x when the altitude is 48 and the longer side is 64?

• 38

• 34

• 32

• 36

In problem 9, what is the length of the hypotenuse of the larger triangle?

• 90

• 95

• 100

• 105

In problem 10, what is the value of x when the hypotenuse is proportional to 7 times the square root of 33?

• 53

• 49

• 45

• 57

In problem 11, what is the value of x when the hypotenuse is proportional to 14 times the square root of 6?

• 45

• 47

• 49

• 51

In problem 12, what is the value of x when the long leg is proportional to 6 times the square root of 13?

• 32

• 34

• 36

• 38