The Pythagorean Theorem

164. 01

A soccer field is a rectangle, 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is the distance the players are running?

No, it is not a right triangle.

A triangle has side lengths of 12, 16, and 9. Is it a right triangle?

Yes, it is a right triangle.

A triangle has side lengths of 6, 8, and 10. Is it a right triangle?

No, it is not a right triangle then. The hypotenuse is the longest side of the triangle.

Can a right triangle have a leg that is 10 meters long and a hypotenuse that is 10 meters long?

29

Find the missing length of the figure.

6.5

Find the missing length of the figure.

10

Find the missing side length of the triangle.

12

Find the missing side length of the triangle.

the longest side of a right triangle, opposite the right angle.

Hypotenuse

5.8

Jessica walks to school everyday. To get to school she leaves her house and walks 5 miles due north, and then 3 miles due west. What is the shortest distance from Jessica's house to school?

The two sides of a right triangle that form the right angle

Legs

a²+b²=c²

The Pythagorean theorem

10

A computer's size is based on the diagonal length of the screen. If the computer's size is 26 inches and the width of the screen is 24 inches, how tall is the computer's screen?

13

A ladder is placed 5 feet away from the house. The ladder comes up to 12 feet on the side of the house. How long is the ladder?

6.5

A right triangle has a hypotenuse that measure 7.4 cm and a leg that measures 3.6 cm. What is the length of the missing side of the triangle?

6.7

A right triangle has two legs that measure 6 in and 3 in. What is the length of the hypotenuse?