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: c² = a² + b².

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the side of a right triangle that is opposite the right angle. It is the longest side of the triangle.

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

The hypotenuse is 5 cm, calculated using the Pythagorean Theorem: 5² = 3² + 4².

Front

What is the perimeter of a right triangle with legs of 3 cm and 4 cm?

Back

The perimeter is 12 cm, calculated as: 3 + 4 + 5 = 12.

Front

What does it mean for a set of numbers to represent a right triangle?

Back

A set of three numbers represents a right triangle if they satisfy the Pythagorean Theorem, meaning the square of the largest number equals the sum of the squares of the other two numbers.

Front

Given the sides 20, 25, and 15, do they form a right triangle?

Back

Yes, they form a right triangle because 25² = 20² + 15².

Front

What is the formula to find the area of a right triangle?

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.

Front

What is a leg in a right triangle?

Back

A leg is one of the two sides that form the right angle in a right triangle.

Front

How do you find the length of a missing side in a right triangle?

Back

To find a missing side, use the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse and a and b are the legs.

Front

What is the relationship between the sides of a 3-4-5 triangle?

Back

In a 3-4-5 triangle, the sides are in a ratio that satisfies the Pythagorean Theorem, making it a right triangle.