Geometry Homework - Right Triangles Practice Problems

Which side is the long leg in this 30-60-90 triangle?

• 4
• u
• v

Which side is the short leg of this 30-60-90 triangle?

• 6
• m
• n

Which of the following are considered special right triangles?

• 30-60-90

• 45-45-90

• 20-70-90

• 40-50-90

The ​ (a)   of a right triangle create the ​ (b)   and the ​ (c)   is always the ​ (d)   side.

• legs
• right angle
• hypotenuse
• longest
• shortest
• acute angle
• diagonal

Match the following for finding sides in a 30-60-90 right triangle.

• Short leg times square root of 3

• Short Leg

• Half of the hypotenuse

• Hypotenuse

• Double the short leg

• Long Leg

In a 45-45-90 right triangle, to find the measure of a leg, you take the ​ (a)   and ​ (b)   by ​ (c)   .​

• hypotenuse
• divide
• 2
• multiply
• short leg
• long leg

Match the following for a 30-60-90 right triangle

• Opposite the 60° angle.

• Long Leg

• Opposite the right angle.

• Short Leg

• Opposite the 30° angle.

• Hypotenuse

In a 45-45-90 right triangle, how many sides are the same size?

• None

• Two

• All 3

• Depends on the triangle

If you know the value of the hypotenuse in a 45-45-90 right triangle, how would you find the measure of a leg?

• Divide by the square root of 2

• Divide by the square root of 3

• Multiply by 2

• Divide by 2

• None of these

Label each of the following.

a

b

c

Short Leg

Hypotenuse

Long Leg