Special Right Triangles with Radials

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

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.

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

• 4√2

• 4

• 8

• 4√3

Find x, y, & z... x=​ (a)   y=​ (b)   ​z= (c)  

• 12 Radical 2

• 12/Radical 3

• 4 Radical 3

• 12

• 12 Radical 3

• sines

• cosines

• tangents

Answer explanation

Find x, y, & z...

x=​ (a)   y=​ (b)   ​z= (c)  

• 12 Radical 2

• 12/Radical 3

• 4 Radical 3

• 12

• 12 Radical 3

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

• 4√2

• 4

• 8

• 4√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

What is the length of RT?

• 5

• 5√2

• 5√3

• 10

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