Special Right Triangles

Special Right Triangles

by Deb Scott

Objective: Use the properties of 45-45-90 and

​30-60-90 Triangles

Multiple Choice

Find the value of y.

• 9
• 18√2
• 9√2
• (9√2)/2

Multiple Choice

Find the missing side lengths.

• a = 4, b = 4
• a = 4, b = 2√2
• a = 2√2,  b = 4
• a = 4, b = 4

Multiple Choice

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

• 4√2
• 4
• 8
• 4√3

Multiple Choice

Find the value of y.

• 8
• 4
• 2√3
• 8√3

Fill in the Blank

A ramp on a moving truck makes a  $$30\degree$$  angle with the ground. What is the length of the ramp if it is 5 ft tall? Round to the 10ths place (one decimal place) if necessary.

Multiple Choice

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3
• u = 4√2 v = 8
• u = 16 v = 8
• u = 4√3 v = 8

Multiple Choice

Find a.

• 3

• $$3\sqrt{3}$$

• 6

• $$\sqrt{3}$$

Multiple Choice

Find x.

• 10

• $$10\sqrt{3}$$

• $$10\sqrt{2}$$

• 20

Multiple Choice

Find x.

• 30°
• 60°
• 90°
• 180°

Multiple Choice

Find x.

• 10
• √3
• 5
• 10√3

Multiple Choice

Find x.

• 4
• 2
• √3
• 2√2

Fill in the Blank

Find x. Round to the 10ths place (one decimal place) if necessary.

Fill in the Blank

What is the height of the TV? Round to the 10ths place (one decimal place) if necessary.

Multiple Choice

What is the distance from the University to Nancy's house ?

• 4 miles

• 6 miles

• $$4\sqrt{3}$$ miles

• $$12\sqrt{3}$$ miles

Multiple Choice

What type of special triangle is this?

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

Multiple Choice

What type of special triangle is this?

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