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). Formula: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

Identify the hypotenuse in a right triangle with sides 6, 6.7, and 3.

Back

The hypotenuse is 6.7.

Front

What is the formula to find the hypotenuse of a right triangle?

Back

The formula is a² + b² = c².

Front

If one side of a right triangle is 3 and the other is 4, what is the length of the hypotenuse?

Back

The hypotenuse is 5 (3² + 4² = 9 + 16 = 25; √25 = 5).

Front

What is the length of the missing side if one side is 12 and the hypotenuse is 13?

Back

The missing side is 5 (13² - 12² = 169 - 144 = 25; √25 = 5).

Front

In a right triangle, if the lengths of the two legs are equal, what type of triangle is it?

Back

It is an isosceles right triangle.

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

If a right triangle has legs of lengths 8 and 15, what is the length of the hypotenuse?

Back

The hypotenuse is 17 (8² + 15² = 64 + 225 = 289; √289 = 17).

Front

What is the converse of the Pythagorean Theorem?

Back

If a triangle has side lengths a, b, and c, and a² + b² = c², then the triangle is a right triangle.