Unit 9 Lesson 2 Special Right Triangles

What type of special triangle is this?

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

Find x.

• 30°
• 60°
• 90°
• 180°

Choose the correct values for x and y in the right triangle.

• $x=\frac{5\sqrt{6}}{2}$

• $x=5$

• $y\ =\ 10$

• $y=10\sqrt{3}$

Choose the correct values for x and y in the right triangle.

• $x=\frac{11\sqrt{3}}{3}$

• $x=11$

• $y\ =\ 22$

• $y=11\sqrt{3}$

What is the length of x in this 45-45-90 triangle?

• 4√2
• 4
• 8
• 4√3

What is the measure of side b?

• 5

• 10√2

• 5√2

• $\frac{10}{\sqrt{2}}$

What type of special right triangle is this?

• 45-45-90
• 30-60-90
• not a special right triangle

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.

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 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