Special Triangles, Pythagorean Theorem

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.

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 a right triangle __________is ALWAYS the longest side.

• a leg

• a hypotenuse

Find the value of x.

• 2

• 4

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

Find the value of y.

• 9

• 18√2

• 9√2

• (9√2)/2

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Which side is the long leg in this 30-60-90 triangle?

• 4

• u

• v

What is the value of x?

• 12√2

• 2√12

• 24

• 2

Find the measure of the indicated angle (?) round to the nearest tenth.

• 9.4

• 55.2

• 20.15

• 19.4