Identify Hypotenuse Legs Right Triangle

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

In a right triangle, which side is always the longest?

Back

The hypotenuse.

Front

If a right triangle has legs of lengths 24 and 32, what is the length of the hypotenuse?

Back

Using the Pythagorean theorem: c = √(a² + b²) = √(24² + 32²) = 40.

Front

What are the legs of a right triangle?

Back

The legs are the two sides that form the right angle.

Front

In a right triangle, if side lengths are labeled a, b, and c, which side is the hypotenuse?

Back

Side c is the hypotenuse.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c²) is equal to the sum of the squares of the other two sides (a² + b²).

Front

If the hypotenuse is 50 and one leg is 30, what is the length of the other leg?

Back

Using the Pythagorean theorem: b = √(c² - a²) = √(50² - 30²) = 40.

Front

What is the relationship between the lengths of the sides in a right triangle?

Back

The hypotenuse is always longer than either leg.

Front

Can the hypotenuse be one of the legs in a right triangle?

Back

No, the hypotenuse is always the side opposite the right angle and cannot be a leg.

Front

If a right triangle has legs of lengths 5 and 12, what is the hypotenuse?

Back

c = √(5² + 12²) = 13.