Pythagorean Theorem

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). It is expressed as: a² + b² = c².

Front

What is the formula to find the length of the hypotenuse?

Back

To find the length of the hypotenuse (c) in a right triangle, use the formula: c = √(a² + b²).

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

If one side of a right triangle is 10 and the other side is 12, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 15.6.

Front

What is the value of √400?

Back

The value of √400 is 20.

Front

Is the statement 'The Pythagorean Theorem is a² + b³ = c⁴' true or false?

Back

False.

Front

What do you call a triangle with one angle measuring 90 degrees?

Back

A right triangle.

Front

In the Pythagorean Theorem, what do 'a' and 'b' represent?

Back

In the Pythagorean Theorem, 'a' and 'b' represent the lengths of the two legs of a right triangle.

Front

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

Back

The length of the hypotenuse is 10.

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 equals the square of the longest side (hypotenuse).