Pythagorean and Special Triangles

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 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

What is the formula used to solve for the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

solve for x

• 5552363959656.

• 10

• 100

• 89

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

solve for the value of y

• 13

• 5

• 23

• 10

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

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

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