Pythagorean Theorem: Word Problems

Durham and Chapel Hill are 14 miles apart.  Chapel Hill and Raleigh are 28 miles part. Raleigh and Durham are 25 miles part. Do these three cities form a right triangle?

• Yes they form a right triangle
• No they do not form a right triangle

Tags

CCSS.8.G.B.8

Zoe is walking to Peter’s house. Zoe walks 4 blocks north to school to find her missing water bottle. She then walks 3 blocks west to Peter’s house. On the way home, Zoe walks straight home from Peter’s house. How many blocks shorter was Zoe’s walk home? 

• 5
• 4
• 2
• 7

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13
• No, because 100+121 does not equal 169
• Yes, because there is a small side, medium side and long side
• Yes, because a triangle has 3 sides

Tags

CCSS.HSG.SRT.C.8

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

Tags

CCSS.8.G.B.8

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

Tags

CCSS.8.G.B.8

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?

• 10
• 25
• 175
• 625

Tags

CCSS.HSG.SRT.C.8

Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?

• 60 feet
• 20 feet
• 180 feet

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.SRT.C.8

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Tags

CCSS.8.G.B.7

James is cleaning the gutter on his house that is 12 feet from the ground. The base of the ladder is 5 feet from the side of the house. How long is the ladder? 

• 169 feet 
• 144 feet 
• 12 feet
• 13 feet