4B Review (Pythagorean Thm)-P4

Front

What is the Pythagorean Theorem?

Back

In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Formula: a² + b² = c².

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 is a right triangle?

Back

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

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

Front

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

Back

10 (Using the Pythagorean Theorem: 6² + 8² = c², 36 + 64 = 100, c = √100 = 10).

Front

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

Back

The sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Front

What is the formula to find the length of the missing side in a right triangle?

Back

Use the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse.

Front

In a right triangle, if one side is 5 and the hypotenuse is 13, what is the length of the other side?

Back

12 (Using the Pythagorean Theorem: 5² + b² = 13², 25 + b² = 169, b² = 144, b = 12).

Front

What does it mean for a triangle to be a right triangle?

Back

It means that one of its angles measures exactly 90 degrees.

Front

What is the opposite of squaring a number?

Back

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