Pythagorean Theorem Review Questions

Front

What is the Pythagorean Theorem?

Back

Front

What is the formula to find the distance between two points (x1, y1) and (x2, y2)?

Back

Front

How do you determine if a triangle is a right triangle?

Back

Front

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

Back

Front

What is the height of a ladder leaning against a wall if the ladder is 13 feet long and the base is 5 feet from the wall?

Back

Front

What does 'hypotenuse' mean in a right triangle?

Back

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

Front

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

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : √3 : 2.

Front

If a right triangle has legs of lengths 9 and 12, what is the length of the hypotenuse?

Back

Front

What is the purpose of the Pythagorean Theorem in real-life applications?

Back

The Pythagorean Theorem is used to calculate distances, heights, and to solve problems involving right triangles in various fields such as construction, navigation, and physics.

Front

How can you use the Pythagorean Theorem to find the height of a tree if you know the distance from the tree and the length of the shadow?

Back

You can form a right triangle where the height of the tree is one leg, the length of the shadow is the other leg, and the line from the top of the tree to the end of the shadow is the hypotenuse.