Pythagorean Theorem & Word Problems

Front

What are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle, commonly referred to as sides a and b.

Front

What is the longest side of a right triangle called?

Back

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

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 opposite of squaring a number?

Back

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

Front

If one leg of a right triangle is 6 feet and the other leg is 8 feet, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10 feet.

Front

How do you calculate the height of an object using the Pythagorean Theorem?

Back

To calculate the height, you can use the formula h² + b² = c², where h is the height, b is the base, and c is the hypotenuse.

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

In a right triangle, if one leg is 5 feet and the hypotenuse is 13 feet, how long is the other leg?

Back

Using the Pythagorean Theorem: c² = a² + b²; 13² = 5² + b²; 169 = 25 + b²; b² = 144; b = 12 feet.

Front

What is a real-world application of the Pythagorean Theorem?

Back

The Pythagorean Theorem can be used in construction to determine the correct lengths of materials needed to create right angles.

Front

What does it mean to round a number to the nearest hundredth?

Back

Rounding to the nearest hundredth means adjusting the number to two decimal places, where the second decimal place is the hundredths place.