The Pythagorean Theorem
Special Right Triangles
Converse of Pythagorean Theorem
Trig Ratios
Miscellaneous
100
Do the following sides form a right triangle? 3, 4, 5
Yes
100
If a 45-45-90 triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?
4
100
Classify the triangle as Right, Acute, Obtuse, or Not a Triangle. Side lengths: 18, 24, 30
Right
100
What acronym/term can you use to remember the three trigonometric ratios? Spelling counts.
Soh Cah Toa
100
Can you have an angle bigger than 90 degrees in a right triangle?
No
200
Do the following sides form a right triangle? 5, 6, 10
No
200
If a 45-45-90 triangle has a leg length of 7, what is the length of the hypotenuse?
7√2
200
Classify the triangle as Right, Acute, Obtuse, or Not a Triangle. Side lengths: 4, 11, 16
Not a Triangle
200
In a right triangle, the hypotenuse is 10. How long is the side across from the 32 degree angle? Round to the nearest tenth.
5.3
200
What is the sine of 28 degrees? Round to the nearest hundredth. (2 decimal places)
0.47
300
Find the missing side:
a = 5 and c = 13
12
300
In a 30-60-90 triangle, the short leg of the triangle is 2, what is the length of the hypotenuse?
4
300
Classify the triangle as Right, Acute, Obtuse, or Not a Triangle. Side lengths: 3, 9,7
Obtuse
300
Which trigonometric ratio should you use if you know the opposite side and are trying to find the length of the adjacent side?
Tangent
300
Find the simplified trig ratio give the picture below:
3/5
400
A right triangle has a leg length of 9.4 and another leg length of 7.1, what is the length of the hypotenuse. Round to the nearest tenth.
11.8
400
In a 30-60-90 triangle, the hypotenuse has a length of 10. What is the length of the short leg?
5
400
Classify the triangle as Right, Acute, Obtuse, or Not a Triangle. Side lengths: √3 , √4, √5
Acute
400
Find the value of x. Round to the nearest tenth.
17.3
400
In a right triangle, the hypotenuse is 10 and the side opposite of "the angle" is 5. What is the measure of "the angle"? Round to the nearest degree.
30 degrees
500
In a right triangle, the hypotenuse is 9 and one of the legs is 6. How long is the other leg? Your answer should be in simplified radical form.
3√5
500
If the long leg of a 30-60-90 triangle is 6√3, what is the length of the hypotenuse?
12
500
Classify the triangle as Right, Acute, Obtuse, or Not a Triangle. Side lengths: 2√3 , 2√5, 2√2
Right
500
DAILY DOUBLE: Without using a calculator: In a right triangle with hypotenuse length 4, what is the sin (30)?
1/2
500
While flying a kite, Linda lets out 45 feet of string and anchors it to the ground. She determines that the angle of elevation of the kite is 58 degrees. What is the height of the kite from the ground? Round to the nearest tenth.
38.2 feet