Pythagorean Theorem: Finding Hypotenuse or Leg

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

What is the hypotenuse in a right triangle?

Back

The longest side opposite the right angle.

Front

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

Back

10 (using the Pythagorean Theorem: 6² + 8² = 10²).

Front

What is a leg in a right triangle?

Back

Any of the two shorter sides that form the right angle.

Front

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

Back

12 (using the Pythagorean Theorem: 5² + b² = 13²).

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 legs equals the square of the hypotenuse.

Front

In a right triangle, if one leg is 9 and the hypotenuse is 15, what is the length of the other leg?

Back

12 (using the Pythagorean Theorem: 9² + b² = 15²).

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

If Jane walks 6 blocks east and Miguel walks 8 blocks north, how far apart are they?

Back

10 blocks (using the Pythagorean Theorem: 6² + 8² = 10²).