Pythagorean Theorem (Word Problems)

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

State the Pythagorean Theorem formula.

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): a² + b² = c².

Front

If a right triangle has legs of lengths 46 km and 13 km, how can you find the length of the hypotenuse?

Back

You can use the equation 46² + 13² = c² to find the length of the hypotenuse.

Front

In a right triangle, if one leg is 10 feet and the hypotenuse is 25 feet, how do you find the length of the other leg?

Back

You can use the equation 10² + b² = 25² to find the length of the other leg.

Front

What is the length of the diagonal of a rectangle with a height of 11 inches and a width of 8 inches?

Back

You can find the length of the diagonal using the equation 11² + 8² = c².

Front

How do you determine the width of a TV screen if the diagonal is 22 inches and one side is 17 inches?

Back

You can use the equation 17² + b² = 22² to find the width of the TV screen.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the two legs of a right triangle equals the square of the hypotenuse.

Front

What is a practical application of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem can be used to determine distances, such as finding the shortest path between two points.

Front

What does the term 'hypotenuse' refer to in a right triangle?

Back

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

Front

If a ladder is leaning against a wall, how can you find the height it reaches on the wall?

Back

You can model the situation as a right triangle and use the Pythagorean Theorem to find the height.