Pythagorean Theorem

Front

What is a right triangle?

Back

A triangle where there is a 90 degree angle.

Front

What is the Pythagorean Theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the hypotenuse in a right triangle?

Back

The longest side in a right triangle.

Front

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

Back

5 (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

What does 'a' and 'b' represent in the Pythagorean Theorem?

Back

The lengths of the two legs of the right triangle.

Front

Can a triangle with sides 5, 12, and 13 be a right triangle?

Back

Yes, because 5² + 12² = 13².

Front

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

Back

Area = 1/2 * base * height.

Front

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

Back

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

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

Back

Approximately 8.49 (using the Pythagorean Theorem: 6² + 6² = c²).

Front

What is a common example of a right triangle in real life?

Back

A ladder leaning against a wall forms a right triangle.