Problem Solving Pythagorean

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

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

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

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

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

June walks home from school by walking around two sides of a rectangular park. The length of the park is 125 m and the width is 121 m. If June were to walk diagonally across the park, how far would she walk?

• 15.68 m

• 246 m

• 31.37 m

• 173.97 m

The school has to build a wheelchair ramp outside the front doors. The current stairs go through a vertical rise of 1 m. If the ramp is to be 14.6 m long, how far from the school will the ramp start? Round your answer to the nearest hundredth of a meter.

• 3.67 m

• 14.57 m

• 14.63 m

• 15 m