Special Triangle Theorem

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 length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

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

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

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.

If the length of the hypotenuse in this triangle is 7, find the length of the long side.

​

Find the lengths of the missing sides.

Considering the lengths of the sides of the triangle, what measure will < A have to be?

• 30

• 45

• 60

• 90

An equilateral triangle has a height of 15. What is the exact length of the one side of the equilateral triangle?

• 5√3

• 10√3

• 30√3

• 10