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 can be expressed as: a² + b² = c².

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

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

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5 cm.

Front

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

Back

The formula is a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Front

In a right triangle, if the hypotenuse is 10 cm and one leg is 6 cm, how do you find the other leg?

Back

Use the formula: a² + b² = c². Here, 6² + b² = 10²; 36 + b² = 100; b² = 64; b = 8 cm.

Front

What does 'c' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'c' represents the length of the hypotenuse.

Front

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

Back

The sum of the squares of the two legs (a and b) equals the square of the hypotenuse (c): a² + b² = c².

Front

If a right triangle has legs of lengths 5 cm and 12 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 5² + 12² = c²; 25 + 144 = c²; 169 = c²; c = 13 cm.

Front

What is the value of 'c' if a = 8 cm and b = 15 cm?

Back

Using the Pythagorean Theorem: 8² + 15² = c²; 64 + 225 = c²; 289 = c²; c = 17 cm.

Front

What is the Pythagorean Theorem used for?

Back

The Pythagorean Theorem is used to determine the lengths of sides in right triangles.