Identify Legs and Hypotenuse of Right Triangles

Front

What is the hypotenuse in a right triangle?

Back

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

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

In a right triangle, if side a = 3 and side b = 4, what is the hypotenuse?

Back

The hypotenuse c can be found using the Pythagorean theorem: c = √(a² + b²) = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

If side c is the hypotenuse, which sides are the legs?

Back

The legs are the two sides that are not the hypotenuse, typically labeled as a and b.

Front

What is the relationship between the legs and the hypotenuse in a right triangle?

Back

The square of the hypotenuse is equal to the sum of the squares of the legs: c² = a² + b².

Front

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

Back

Using the Pythagorean theorem: c = √(5² + 12²) = √(25 + 144) = √169 = 13.

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The formula is c = √(a² + b²), where c is the hypotenuse and a and b are the legs.

Front

In a right triangle, if the hypotenuse is 10 and one leg is 6, how do you find the other leg?

Back

Use the Pythagorean theorem: b = √(c² - a²) = √(10² - 6²) = √(100 - 36) = √64 = 8.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

If the hypotenuse is labeled as c, what are the common labels for the legs?

Back

The legs are commonly labeled as a and b.