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). It is expressed as: a² + b² = c².

Front

In a right triangle with sides 6, 6.7, and 3, which side is the hypotenuse?

Back

6.7

Front

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

Back

c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

Front

Which set of sides forms a right triangle: 4, 5, 6 or 5, 12, 13?

Back

5, 12, 13 forms a right triangle.

Front

If one side of a right triangle is 5 and the other is 12, what is the length of the hypotenuse?

Back

13 (using the Pythagorean Theorem: 5² + 12² = 13²).

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

If a right triangle has a hypotenuse of 10 and one side of 6, what is the length of the other side?

Back

8 (using the Pythagorean Theorem: 10² - 6² = 8²).

Front

True or False: The Pythagorean Theorem can be used for all triangles.

Back

False, it only applies to right triangles.

Front

What is the value of y if a right triangle has sides 5, y, and 13?

Back

12 (using the Pythagorean Theorem: 5² + y² = 13²).

Front

If a triangle has sides of lengths 8, 15, and 17, is it a right triangle?

Back

Yes, because 8² + 15² = 17².