Pythagorean Theorem
Special Right Triangles
Trig Ratios
100

What do you use the Pythagorean Theorem for?

Up to teacher for answer.

100

What is a 30-60-90 triangle and how can you solve for the sides of it?

Up to teacher for answer.

100

If sinA=cosB for the acute angles A and B, how are the angles related?

A) Not enough information

B) Supplementary

C) Complementary

D) Congruent

C) Complementary

200

35

200

The lengths of the legs of a 45°-45°-90° triangle can be described by the expressions 

5n + 34 and 14n - 2. What is the length of each leg of the triangle?

54

200

Two angles, <X and <Y are complementary. What is sinY if 

cosX=3/7 ?

3/7

300

If you have a skateboard ramp that is 3 feet high and the ramp itself is 5 feet long. What is the horizontal distance of the ramp, in feet?

4 feet

300

The lengths of the legs of a 45°-45°-90° triangle can be described by the expressions -6x + 15 and 4x - 5. What is the length of each leg of the triangle?

3

300

Given sin(C) = sin(N) in △ABC and △LMN, select all of the true statements. 

A, B, D

400

Martin is making a lean-to for his dog in the shape of a right triangle. Are the side lengths 33, 56, and 64 possible side lengths to form the lean-to?

No

400

A 30°−60°−90° triangle is shown. Prove that if the shortest side length is s, the others are s√3 and 2s.

Which shows how to find the length of the hypotenuse, c?

 

D

400

Gael wants to build a bike ramp such that m∠B is less than 50°. His plan is shown below. Will it work? Explain

 

A

500

Martin is making a lean-to for his dog in the shape of a right triangle. Are the side lengths 28, 45, and 53 possible side lengths to form the lean-to?

Yes

500

A 30°−60°−90° triangle is shown. Prove that if the shortest side length is s, the others are s√3 and 2s.Which shows how to find the length of the longer leg, x? 



B

500

The diagram shows a building and two beams, located on top and to the right of the building, respectively. Angle x is formed between the tops of the two beams as shown. Find x, to the nearest tenth of a degree

 

26.6