 Special Right Triangles
3 years ago
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Practice 18 QuestionsShow answers
• Question 1
120 seconds Q. In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
Multiply that leg by 2
Use the same length for the second leg
Multiply that leg by √2
Divide that leg by √2
• Question 2
120 seconds Q. What is the length of y in this picture?
45
5√2
90
5
• Question 3
120 seconds Q. In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?
It is the same length as the given leg.
Multiply that leg's length by √2.
Multiply that leg's length by 2.
Divide that leg's length by √2.
• Question 4
120 seconds Q. What is the length of x in this 45-45-90 triangle?
4√2
4
8
4√3
• Question 5
120 seconds Q. I have been given a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?
Multiply by √2
Divide by √2
It's the same length as the hypotenuse.
Divide by 2
• Question 6
120 seconds Q. What is the length of y in this 45-45-90 triangle?
8√2
4√2
4
8
• Question 7
120 seconds Q. Which side is the long leg in this 30-60-90 triangle?
4
u
v
• Question 8
120 seconds Q. Which side is the short leg of this 30-60-90 triangle?
6
m
n
• Question 9
120 seconds Q. I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?
Multiply 4 by 2
Multiply 4 by √3
Multiply 4 by √2
Divide 4 by 2
• Question 10
120 seconds Q. I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?
Multiply 4 by 2
Multiply 4 by √3
Multiply 4 by √2
Divide 4 by √3
• Question 11
120 seconds Q. I have been given the hypotenuse in this 30-60-90 triangle.  How do I find the short leg?
Multiply 6 by 2
Multiply 6 by √3
Divide 6 by 2
Divide 6 by √3
• Question 12
120 seconds Q. What is the length of u and v in this 30-60-90 triangle?
u = 8 v = 4√3
u = 4√2 v = 8
u = 16 v = 8
u = 4√3 v = 8
• Question 13
120 seconds Q. I have been given the long leg in this 30-60-90 triangle.  How do I find the short leg?
Multiply 7 by 2
Multiply 7 by √3
Divide 7 by 2
Divide 7 by √3
• Question 14
120 seconds Q. I have been given the long leg in this 30-60-90 triangle.  How do I find the hypotenuse?
Divide 8 by √3
Divide 8 by 2
Divide 8 by 2, then multiply that answer by √2
Divide 8 by √3, then multiply that answer by 2
• Question 15
120 seconds Q. What are x and y in this 30-60-90 triangle?
x = 6 y = 3√3
x = 1.5√3 y =1.5
x = 3√3 y = 6
x = √3 y = 2√3
• Question 16
120 seconds Q. What are x and y in this 30-60-90 triangle?
x = 6 y = 3√3
x = 3√2 y = 3
x = 3√3 y = 6
x = 3√3 y = 3√2
• Question 17
120 seconds Q. What are u and v in this 30-60-90 triangle?
v = 2√3 u = 6
v = 4 u = 4√3
v = 4 u = 4√2
v = 4√3 u = 8√3
• Question 18
120 seconds Q.

What are a and b in this 30-60-90 triangle?