Flashcard - Special Right Triangles

Front

What is a 30-60-90 triangle?

Back

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

Front

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

Back

Divide the length of the hypotenuse by 2.

Front

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

Back

Both angles are equal, each measuring 45°, making it an isosceles right triangle.

Front

What is the ratio of the sides in a 45-45-90 triangle?

Back

The sides are in the ratio 1:1:√2.

Front

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

Back

6 (12 divided by 2).

Front

If the short leg of a 30-60-90 triangle is 4, what is the length of the hypotenuse?

Back

8 (4 multiplied by 2).

Front

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

Back

Multiply the short leg by √3.

Front

In a 45-45-90 triangle, if one leg is 5, what is the length of the hypotenuse?

Back

5√2 (5 multiplied by √2).

Front

What is the measure of the angles in a 30-60-90 triangle?

Back

30°, 60°, and 90°.

Front

If the hypotenuse of a 45-45-90 triangle is 10√2, what is the length of each leg?

Back

10 (10√2 divided by √2).