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 formula to find the hypotenuse in a right triangle?

Back

To find the hypotenuse (c), use the formula: c = √(a² + b²).

Front

What do the letters a and b represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, a and b represent the lengths of the two legs (the shorter sides) of a right triangle.

Front

What is the hypotenuse in a right triangle?

Back

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

Front

If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5 units.

Front

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

Back

The relationship is defined by the Pythagorean Theorem: the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

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

Back

Use the formula: b = √(c² - a²). Here, b = √(10² - 6²) = √(100 - 36) = √64 = 8 units.

Front

What are the two shorter sides of a right triangle called?

Back

The two shorter sides of a right triangle are called the legs.

Front

What is the significance of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem is used in various fields such as construction, navigation, and physics to calculate distances and create right angles.