Solve Special Right Triangles

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

• b=3.5√3 a = 7√3

• b = 7 a = 7√2

• b = 7 a = 14

• b = 7√3 a = 14√3

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

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

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

Find the value of x.

• 18

• 18√3

• 36√3

• 12

Answer explanation

Divide by 2

Find the value of y.

• 9

• 18√2 or 25.5

• 9√2 or 12.7

• 4.5

Find x.

• 10

• 20

• 10√3

• √3

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

Find the value of y.

• 8

• 4

• 2√3

• 8√3

Answer explanation

Remember to get short leg FIRST, then go to the other side