Special Right Triangles

Question 1

If AB = 2x, complete the statements below.

Revolt · Accepted Answer

2 + (AD)2 = (2x)2: x; (AD)2 = x2 – x2: 4; (AD)2 = x2: 3; AD =: x

Question 2

The steepest side of the model, AB, measures 4 inches. What is the length of the other skating surface, AD? in. in. in. in.

Revolt · Accepted Answer

C: in.

Question 3

Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse?

Revolt · Accepted Answer

D: cm

Question 4

What are the angle measures in triangle ABC?

Revolt · Accepted Answer

C: m∠A = 90°, m∠B = 60°, m∠C = 30°

Question 5

The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of one of the legs of the triangle?

Revolt · Accepted Answer

B: in.

Question 6

Which statements about the diagram are correct? Check all that apply.

Revolt · Accepted Answer

C: DC = in.; D: AC = in.

Question 7

⇒ 90

Revolt · Accepted Answer

113622

Question 8

Which measurements are accurate based on the scenario? Check all that apply.

Revolt · Accepted Answer

A: The distance from the man’s feet to the base of the monument is feet.; B: The distance from the man’s feet to the top of the monument is feet.

Question 9

What is the height of the roof, h?

Revolt · Accepted Answer

B: ft

Question 10

From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?

Revolt · Accepted Answer

B: ft

Special Right Triangles Answers

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