Pythagorean Theorem (Word Problems)

Front

What is the Pythagorean Theorem?

Back

Front

What does each variable represent in the Pythagorean Theorem?

Back

Front

How do you identify a right triangle?

Back

A right triangle can be identified by the presence of a 90-degree angle between two of its sides.

Front

What is the formula to find the length of the hypotenuse?

Back

Front

How do you find the length of one leg if the hypotenuse and the other leg are known?

Back

Front

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

Back

Front

How can the Pythagorean Theorem be applied in real-life situations?

Back

The Pythagorean Theorem can be used in various real-life situations, such as determining the height of a ladder against a wall or the diagonal distance across a rectangular area.

Front

What is the equation used to solve for the diagonal of a rectangle?

Back

Front

How do you set up a Pythagorean Theorem problem from a word problem?

Back

Identify the right triangle, label the sides, and determine which sides are known. Then, set up the equation using the Pythagorean Theorem.

Front

What is the significance of the Pythagorean Theorem in geometry?

Back

The Pythagorean Theorem is fundamental in geometry as it establishes a relationship between the sides of right triangles, which is essential for various geometric calculations.