Special Right Triangles and Trigonometry

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3

• x = 3√2 y = 3

• x = 3√3 y = 6

• x = 6 y = 3√2

Find the lengths of the missing sides.

Find the value of y.

• 8

• 4

• 2√3

• 8√3

• x=10√3   y=30
• x=10,   y=30√3
• x=30√3   y=10
• x=30   y=10√3

Find the measure of the missing angle.

• 49^o

• 50^o

• 41^o

• 33^o

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63.6 ft

• 1.59 ft

• 74.2 ft

• 86.9 ft

Find a. 

• 2

• 4

• 2/√2

• 2√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

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16