geometric mean , pythagoras',trigonometry

Which of the following represents the geometric mean of 16 and 4?

• 4

• 8

• 10

• 64

If 12 is the geometric mean between 4 and a number x, what is the value of x?

• 36

• 16

• 24

• 48

Given the triangle ΔGHK, what are the values of x, y, and z?

• x = 30°, y = 60°, z = 90°

• x = 45°, y = 45°, z = 90°

• x = 60°, y = 60°, z = 60°

• x = 90°, y = 45°, z = 45°

Find the measure of KM.

• 13.4

• 24

• 12

• 26.8

Noah wants to take a picture of a beach front. He wants to make sure two palm trees located at points A and B are just inside the edges of the photograph. He walks out on a walkway that goes over the ocean to get the shot. Point A is 90 feet from the entrance of the walkway, and point B is 40 feet from the entrance. If the walkway is perpendicular to AB, and Noah’s camera has a viewing angle of 90°, at what distance down the walkway should Noah stop to take his photograph?

• 60

• 45

• 75

• 30

Find the missing side of the given triangle.

• √29

• √21

• 29

• Not enough information

Use a Pythagorean triple to find the value of c.

• 30

• 24

• 36

• 40

State if the following triangle with sides 6, 8, 9 forms a right triangle.

• Yes, it forms a right triangle.

• No, it does not form a right triangle.

• It forms an equilateral triangle.

• It forms an isosceles triangle.

State if the following triangles / triplets form a right triangle:
b) Triangle with sides 3, 4, 5

• Yes, it forms a right triangle

• No, it forms an equilateral triangle

• No, it forms an isosceles triangle

• No, it does not form a right triangle

State if the following triangles / triplets form a right triangle: 8, 15, 17.

• Yes, they form a right triangle.

• No, they do not form a right triangle.

• Only if the triangle is isosceles.

• Only if the triangle is equilateral.