Pythagorean Theorem & Radicals

Front

What is the Pythagorean Theorem?

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Front

What is a hypotenuse?

Back

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

Front

How do you identify the sides of a right triangle?

Back

In a right triangle, the two shorter sides are called the legs, and the longest side is called the hypotenuse.

Front

If one leg of a right triangle is 9 and the other leg is 12, what is the length of the hypotenuse?

Back

Front

What is the formula to find the length of a side in a right triangle using the Pythagorean Theorem?

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Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means to reduce it to its simplest form, removing any perfect square factors from under the radical.

Front

Back

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : √3 : 2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

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