What is the longer leg of a 30-60-90 triangle when the hypotenuse is 16?
8√3
100
What is the hypotenuse of a 45-45-90 triangle if the legs are 7?
The hypotenuse is 7√2.
100
If the legs of a right triangle are 9 and 12, what is the hypotenuse?
The hypotenuse is 15.
100
What is the sin(30) in a 30-60-90 triangle, if the short leg is 1?
1/2
100
If you know the hypotenuse of a 45-45-90 triangle, how do you find the legs?
Divide the length of the hypotenuse by √2.
200
What is the shorter leg of a 30-60-90 triangle, when the longer leg is 7?
(7√3)/ 3
200
What are the legs of the 45-45-90 triangle if the hypotenuse is 8?
4√2
200
How many Pythagorean Triples are there?
An infinite number
200
What is the cos(45) in a 45-45-90 triangle if the legs equal 1?
(√2) / 2
200
What does SOHCAHTOA stand for?
Sine = Opposite/Hypotenuse, Cosine= Adjacent/ Hypotenuse, Tangent= Opposite/ Adjacent
300
If the shortest leg of a 30-60-90 triangle is 6, what is the sum of the hypotenuse and longer leg? (IN EXACT FORM)
12 + 6(√3)
300
What are the ratios between the sides of a 45-45-90 triangle?
1:1: √2
300
If a lamppost 24 feet tall creates a shadow 10 feet long what is the distance between the top of the lamppost and the part of the shadow farthest away from it?
26 feet
300
What is the tan(30) of a 30-60-90 triangle, if the short leg is 2?
(√3)/3
300
If the cosine of an angle equals 1/2, what is the angle?
60 degrees
400
What are the ratios between the sides of a 30-60-90 triangle?
1:√3: 2
400
What is the perimeter of a 45-45-90 triangle if one leg is 5?
10+5(√2)
400
In a 5-12-13 triangle, where 5=5x, 12=12x, and 13=13x , the perimeter is 210. What is x?
7
400
What is sin(60) of a 30-60-90 triangle, if the short leg is 3?
√3/2
400
If a ladder leans against a building at a 24 degree angle and the ladder is 10 ft long, how far away is the bottom of the ladder from the base of the building? (Round to the hundredths)
9.14 ft
500
What is the perimeter of a 30-60-90 triangle, if the longer leg is 9? (ANSWER IN EXACT FORM)
9 + 9(√3)
500
What is the area of a 45-45-90 triangle, if the hypotenuse is 4?
4 units squared
500
If you have a rectangle with the side lengths of 9 and 40, what is the diagonal length of that rectange?
41
500
What is 3(tan(45))?
3
500
If one angle of a right triangle has a cosine ratio of a/b, then what do you know about the sine ratio of its complementary angle?