Special Triangles and Trigonometry

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Equiangular
• Equilateral

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Isosceles
• Obtuse

Find x.

• 30°
• 60°
• 90°
• 180°

Find x.

• 10
• √3
• 5
• 10√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

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2
• Multiply 4 by √3
• Multiply 4 by √2
• Divide 4 by √3

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 x - the length of the hypotenuse of the triangle.

• 5
• 5√2
• 10
• 5√3

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 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