9.2 special right triangles

Front

What is a 45-45-90 triangle?

Back

A right triangle where the two legs are of equal length and the angles are 45°, 45°, and 90°.

Front

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

Back

The length of the hypotenuse is √2 times the length of each leg.

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle if each leg is 4?

Back

Hypotenuse = 4√2.

Front

What is a 30-60-90 triangle?

Back

A right triangle with angles measuring 30°, 60°, and 90°.

Front

What is the relationship between the short leg, long leg, and hypotenuse in a 30-60-90 triangle?

Back

The short leg is x, the long leg is x√3, and the hypotenuse is 2x.

Front

How do you find the long leg in a 30-60-90 triangle if the short leg is 4?

Back

Long leg = 4√3.

Front

What is the height of an equilateral triangle with side length s?

Back

Height = (s√3)/2.

Front

How do you find the height of a 30-60-90 triangle with a short leg of 16?

Back

Height = 16√3.

Front

What is the Pythagorean Theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

Which type of triangle does the Pythagorean Theorem apply to?

Back

Right triangles.