Pythagorean Word Problems

Front

Find the missing side

Back

20

Front

A new pipeline is being created to shorten the distance it has to travel to get from point A to point B. The original pipeline ran at a 90 angle from point A to point B and was 20 miles on one side and 15 miles on the other. The new pipeline will go straight from A to B. How much shorter will the new pipeline be?

Back

10

Front

Ladder length needed to reach a 25-foot tall house when placed 10 feet away.

Back

27 feet

Front

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

Back

111.8 yards

Front

Jane and Miguel are siblings. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart are their schools if you walk straight from one to the other?

Back

10

Front

A piece of paper is 11 inches tall and 8 inches wide. How long is the diagonal line drawn across the paper? Options: 7.5 in, 12.4 in, 13.6 in, 14.3 in

Back

13.6 in

Front

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? Options: 17 miles, 32 miles, 37 miles, 40 miles

Back

40 miles

Front

Back

√112

Front

Possible third side of a triangle with sides 13 and 4? Options: 9, 12, 8, 5

Back

12

Front

Find the missing side

Back

18.2