(Easy) Special Right Triangles 1.1 added 7

Front

What is a 30-60-90 triangle?

Back

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

Front

What is a 45-45-90 triangle?

Back

A special right triangle where the angles are 45°, 45°, and 90°. The legs are equal in length, and the hypotenuse is √2 times the length of a leg.

Front

If one leg of a 45-45-90 triangle is 7, what is the length of the hypotenuse?

Back

7√2

Front

In a 30-60-90 triangle, if the shorter leg is 5, what is the length of the longer leg?

Back

5√3

Front

What is the relationship between the legs in a 45-45-90 triangle?

Back

The lengths of the legs are equal.

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle?

Back

Multiply the length of the shorter leg by 2.

Front

What is the formula for the sides of a 30-60-90 triangle?

Back

If the shorter leg is 'x', then the longer leg is 'x√3' and the hypotenuse is '2x'.

Front

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

Back

5√2

Front

What is the value of x in a 30-60-90 triangle if the longer leg is 12?

Back

x = 12/√3 = 4√3 (shorter leg) and hypotenuse = 24.

Front

In a 45-45-90 triangle, if one leg is 8, what is the length of the other leg?

Back

8 (the legs are equal).