Special Right Triangles
Right triangle facts
Find the Side
Find the Angle
Solving Right Triangles
100
The angle measurement that is missing when the given angle measurements are 45 and 90 degrees.
What is 45 degrees?
100

The trig ratio used when given the adjacent and hypotenuse lengths.

What is cosine?

100
The missing hypotenuse length given side lengths 9 and 12. (Round to the nearest tenth.)
What is 15?
100
The missing angle in a triangle given angle measurements 29 and 90 degrees.
What is 61?
100
The solution for solving a triangle given side lengths 2 and 2.2. (Round all side lengths and angle measurements to the nearest tenth)
What are side lengths 2, 2.2, and 3; and angle measurements 41.8, 48.2, and 90?
200
The missing angle measurement when the given angle measurements are 60 and 90 degrees.
What is 30 degrees?
200

The trig ratio used when given the opposite and hypotenuse lengths.

What is sine?

200
The missing hypotenuse length given the angle 72 degrees and adjacent side length of 6. (Round to the nearest tenth)
What is 19.4?
200
The missing angle in a triangle given adjacent side length 16 and hypotenuse 20.3 (Round to the nearest whole degree)
What is 38 degrees?
200
The solution for a triangle given the angle measurement 53 degrees and opposite length 2. (Round all answers to the nearest tenth.)
What are the angle measurements 37, 53, and 90 degrees; and side lengths 1.5, 2, 2.5?What is
300

The leg of a 45-45-90 degree triangle.

What is the square root of 2 over 2?

300
The trig ratio used when given the opposite and adjacent lengths.
What is tangent?
300
The missing side length given an angle of 52 degrees and the adjacent side length of 12.5. (Round to the nearest whole number)
What is 16?
300
The missing angle measurement given an opposite side length of 5 and a hypotenuse length of 10.3 (Round to the nearest whole degree)
What is 29 degrees?
300

The solution for solving a triangle given the angle measurement 39 degrees and opposite side length 3. (Round all answers to the nearest tenth.)

What are the angle measurements 39, 51, and 90 degrees; and side lengths 3, 3.7, 4.8.         

400

The length of the longer leg in a 30-60-90 degree triangle.

What is the square root of 3 over 2?

400

The name of the formula used for finding a missing side when 2 sides are given.

What is the Pythagorean Theorem? 

400
The missing opposite side length given an angle of 53 degrees and a hypotenuse of length 2.5 (Round to the nearest whole number.)
What is 2?
400
The two angle measurements given the same side lengths of 3.
What is 45 and 45 degress?
400
The solution of a triangle given an angle measurement of 49 degrees and an opposite side length of 8. (Round all angle measurements to the nearest whole degree, and all side lengths to the nearest tenth)
What is angle measurements of 41, 49, and 90; and side lengths of 7, 8, and 10.6?
500

The name of the foundational tool in trigonometry used to define angles (in radians or degrees) and trigonometric functions (sine, cosine, tangent) for all real numbers. 

What is the unit circle

500

The mnemonic device used to remember the trig ratios

What is SOH-CAH-TOA

500
The missing adjacent side length given an angle of 41 degrees and a opposite side length of 7. (Round to the nearest whole number.)
What is 8?
500
The missing angle measurement given opposite side length 6.3 and adjacent side length 9. (Round to the nearest whole degree)
What is 35?
500

The solution of a triangle given the side length 37 and hypotenuse length 75. (Round all angle measurements to the nearest whole degree, and all side lengths to the nearest tenth)

What are angle measurements 60, 30, and 90 degrees; and side lengths 37, 65.2, and 75.

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