Pythagorean Theorem Word Problems

Front

What is the longest side of a right triangle called?

Back

Hypotenuse

Front

What is the Pythagorean Theorem formula?

Back

a² + b² = c², where c is the hypotenuse.

Front

Which set of sides would make a right triangle?

Back

5, 12, 13

Front

In a right triangle, which side is always opposite the right angle?

Back

The hypotenuse.

Front

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

Back

5 (using the Pythagorean Theorem).

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

The sides are in the ratio 1:√3:2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

The sides are in the ratio 1:1:√2.

Front

How do you find the distance between two points in a coordinate plane?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the Pythagorean Theorem in real-world applications?

Back

It is used to determine distances and relationships in various fields such as construction, navigation, and physics.

Front

If a ladder is placed 10 feet away from a wall and reaches a height of 25 feet, how long is the ladder?

Back

27 feet (using the Pythagorean Theorem).