Pythagorean Theorem Basic Problems

_{^{Find the missing side}}

• 37

• 17.66

• 6

• 312

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

To which shape(s) does the Pythagorean theorem apply?

• All triangles

• Right triangles only

• Some right triangles and some isosceles triangles 

• Right triangles and circles.

The Pythagorean Theorem is _________

• a + b = c

• a² + b² = c²

• a² + b² + c²

• A = LW

On your own paper, write an equation using the Pythagorean Theorem and solve for x.

• x = 15

• x = 7.9

• x = 21

• x = 225

The longest side of a right triangle is called the...

• leg A

• leg B

• hypotenuse

• right angle

In the given triangle, which side is the hypotenuse?

• 13

• 23

• x

• not enough information