8.5 Pythagorean Theorem

Front

What is the Pythagorean Theorem?

Back

Front

What is the formula to find the length of the hypotenuse in a right triangle?

Back

Front

How do you determine if a triangle is a right triangle using the Pythagorean Theorem?

Back

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 side of a right triangle is 3 and the other side is 4, what is the length of the hypotenuse?

Back

Front

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

Back

In a right triangle, the relationship between the sides 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

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

What is the distance formula derived from the Pythagorean Theorem?

Back

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

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 angles.