Special Right Triangles Review

Front

What is the side opposite the right angle in a right triangle?

Back

Hypotenuse

Front

In a 30-60-90 triangle, if the short leg is u, what is the length of the long leg v?

Back

If u = 8, then v = 4√3.

Tags

CCSS.8.G.B.8

Front

Identify the short leg in a 30-60-90 triangle with sides labeled as 6, m, n.

Back

n is the short leg.

Tags

CCSS.HSG.CO.C.10

Front

If the short leg n of a 30-60-90 triangle is unknown, and the options are 4, 6, 12, 2√3, what is n?

Back

n = 2√3.

Tags

CCSS.HSG.CO.C.10

Front

What is the length of y in a 45-45-90 triangle if the options are 45, 5√2, 90, 5?

Back

y = 5.

Tags

CCSS.8.G.B.8

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

1 : √3 : 2 (short leg : long leg : hypotenuse).

Tags

CCSS.HSG.CO.C.10

Front

In a 45-45-90 triangle, if the length of one leg is x, what is the length of the hypotenuse?

Back

Hypotenuse = x√2.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the angles and sides in a special right triangle?

Back

The angles determine the ratios of the sides.

Tags

CCSS.HSG.CO.C.10

Front

If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the short leg?

Back

Short leg = 10/2 = 5.

Tags

CCSS.8.G.B.8

Front

In a 45-45-90 triangle, if the hypotenuse is 10, what is the length of each leg?

Back

Each leg = 10/√2 = 5√2.

Tags

CCSS.8.G.B.8