11/17 FLASHCARD

Front

Find the missing side lengths of a right triangle where one leg is 4. What is the length of the other leg if the hypotenuse is 4√2?

Back

The other leg is 4√2.

Front

What type of triangle has angles measuring less than 90 degrees?

Back

An acute triangle.

Front

What type of triangle has one angle measuring exactly 90 degrees?

Back

A right triangle.

Front

What type of triangle has one angle measuring more than 90 degrees?

Back

An obtuse triangle.

Front

In a special right triangle (45-45-90), if one leg is 5, what are the lengths of the other leg and the hypotenuse?

Back

Both legs are 5, and the hypotenuse is 5√2.

Front

In a special right triangle (30-60-90), if the shorter leg is 3, what are the lengths of the other leg and the hypotenuse?

Back

The longer leg is 3√3, and the hypotenuse is 6.

Front

What is the Pythagorean theorem?

Back

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

Front

If a triangle has sides of lengths 3, 4, and 5, what type of triangle is it?

Back

It is a right triangle.

Front

What is the value of x in the equation 2x + 4 = 10?

Back

x = 3.

Front

If a triangle has angles measuring 30°, 60°, and 90°, what is the ratio of the lengths of the sides opposite these angles?

Back

1 : √3 : 2.