Pythagorean Theorem

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

Right triangle.

Front

What is the Pythagorean Theorem formula?

Back

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

Front

In a right triangle, what is the hypotenuse?

Back

The longest side opposite the right angle.

Front

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

Back

5 cm.

Front

What is the value of x if a = 6 and b = 8 in a right triangle?

Back

x = 10 (using the Pythagorean Theorem).

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 legs equals the square of the hypotenuse.

Front

If the hypotenuse is 13 cm and one leg is 5 cm, what is the length of the other leg?

Back

12 cm.

Front

What is the Pythagorean Theorem used for?

Back

To find the length of a side in a right triangle.

Front

If a triangle has sides of lengths 7, 24, and 25, is it a right triangle?

Back

Yes, because 7² + 24² = 25².

Front

What is the square of the hypotenuse if the legs are 9 cm and 12 cm?

Back

225 cm².