Right Triangle Trig Intro

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

What is a Pythagorean Triple?

Back

A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c².

Front

Identify the hypotenuse in a right triangle with sides 3, 4, and 5.

Back

The hypotenuse is 5.

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²).

Front

What do we call the side opposite the right angle?

Back

The side opposite the right angle is called the hypotenuse.

Front

If one leg of a right triangle is 6 and the other leg is 8, what is the length of the hypotenuse?

Back

The hypotenuse is 10, calculated using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.

Front

What is the formula for the Pythagorean theorem?

Back

The formula is a² + b² = c², where c is the hypotenuse.

Front

In a right triangle, if the legs are 5 and 12, what is the hypotenuse?

Back

The hypotenuse is 13, calculated using the Pythagorean theorem: √(5² + 12²) = √(25 + 144) = √169 = 13.

Front

What is the definition of a right triangle?

Back

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