Pythagorean Theorem Intro

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

Front

What is the formula for the Pythagorean Theorem?

Back

a² + b² = c²

Front

What is the name for side c in a right triangle?

Back

Hypotenuse

Front

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

Back

The hypotenuse (side c) is always the longest side.

Front

What is the opposite operation of squaring a number?

Back

Square root

Front

If a = 3 and b = 4, what is c in the Pythagorean Theorem?

Back

c = 5 (since 3² + 4² = 9 + 16 = 25, and √25 = 5).

Front

What does the term 'right triangle' mean?

Back

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

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the two shorter sides (a and b) equals the square of the longest side (c).

Front

What is the area of a square with side length a?

Back

The area is a².

Front

If the lengths of the two legs of a right triangle are 6 and 8, what is the length of the hypotenuse?

Back

The hypotenuse is 10 (since 6² + 8² = 36 + 64 = 100, and √100 = 10).