30 60 90 right triangles

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles measure 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, if the shortest side (opposite the 30° angle) is 'x', then the longer leg (opposite the 60° angle) is 'x√3', and the hypotenuse is '2x'.

Tags

CCSS.HSG.CO.C.10

Front

If the shortest side of a 30-60-90 triangle is 4, what are the lengths of the other sides?

Back

The longer leg is 4√3 and the hypotenuse is 8.

Tags

CCSS.8.G.B.8

Front

What is the formula to find the longer leg in a 30-60-90 triangle?

Back

The longer leg can be found using the formula: longer leg = shorter leg × √3.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

The shorter leg is 5.

Tags

CCSS.8.G.B.8

Front

What is the value of the longer leg if the hypotenuse is 10 in a 30-60-90 triangle?

Back

The longer leg is 5√3.

Tags

CCSS.8.G.B.8

Front

In a 30-60-90 triangle, if the longer leg is 6√3, what is the length of the shorter leg?

Back

The shorter leg is 6.

Tags

CCSS.8.G.B.8

Front

What is the hypotenuse if the shorter leg of a 30-60-90 triangle is 3?

Back

The hypotenuse is 6.

Tags

CCSS.8.G.B.8

Front

If the longer leg of a 30-60-90 triangle is 12, what is the length of the shorter leg?

Back

The shorter leg is 12/√3 or 4√3.

Tags

CCSS.8.G.B.8

Front

What is the value of the hypotenuse if the longer leg is 8√3?

Back

The hypotenuse is 16.

Tags

CCSS.8.G.B.8