Label Sides of Special Right Triangles

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

• Double the short leg

• Hypotenuse

• Short leg times square root of 3

• Short Leg

• Half of the hypotenuse

• Long Leg

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

If you knew the value of the hypotenuse of a 30-60-90 right triangle, how would you find the measure of the long leg?

• Divide by the square root of 3

• Multiply by the square root of 3

• Divide by 2

• Multiply by 2

• None of these

Label each of the following.

a

b

c

Hypotenuse

Long Leg

Short Leg

• 5 cm

• 10 cm

In a 30-60-90 triangle, if the hypotenuse measures 16 cm, what is the length of the longer leg?

• 8 cm

Which of the following is a characteristic of a 45-45-90 triangle?

• The lengths of the legs are equal.

• The length of the hypotenuse is twice the length of one leg.

• The lengths of the legs are in a ratio of 1:2.

Label the sides according the given angle.

a

b

c

Hyp

Opp

Adj

What is the value of y? Value only, no y =

Mathematical Equivalence

ON

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

• Opposite the right angle.

• Short Leg

• Opposite the 30° angle.

• Hypotenuse

• Opposite the 60° angle.

• Long Leg