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

What does 'a' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'a' represents the length of one of the two legs (sides) of a right triangle.

Front

What does 'b' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'b' represents the length of the other leg (side) of a right triangle.

Front

What does 'c' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'c' represents the length of the hypotenuse, which is the side opposite the right angle in a right triangle.

Front

If a = 3 feet and b = 4 feet, what is c?

Back

c = √(3² + 4²) = √(9 + 16) = √25 = 5 feet.

Front

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

Back

True.

Front

Which of the following sets of lengths can form a right triangle? 5, 12, 13; 8, 15, 17; 14, 15, 29.

Back

The sets 5, 12, 13 and 8, 15, 17 can form right triangles. The set 14, 15, 29 cannot.

Front

What is the formula to find the length of the hypotenuse?

Back

The formula to find the length of the hypotenuse is c = √(a² + b²).

Front

If a = 6 and b = 8, what is the length of c?

Back

c = √(6² + 8²) = √(36 + 64) = √100 = 10.

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides (legs) equals the square of the longest side (hypotenuse).