Pythagorean Theorem Application Problem

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

• 2

Find the value of x rounded to the nearest whole number.

• 12 units

• 14 units

• 18 units

• 8 units

A 17-foot ladder is set against the side of a house so that it reaches 16 feet up the side of the house.  If Alison grabs the ladder at its base and pulls it 6 feet further from the house, how many feet up the side of the house will the ladder reach? Round all answers to the nearest whole number.

What is the first step to solving an application problem involving Pythagorean Theorem?

• Solve missing measure.

• Lable the diagram.

• Draw a diagram.

• Write the Pythagorean Theorem Formula.

A 14-foot ladder is set up 4 feet from the base of a building.  How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.

• 13.4 feet

• 14.6 feet

• 16.5 feet

• 18.0 feet

Find the missing side of the triangle. Round your answer to the nearest tenth if necessary.

• 5

• 7

• 2.6

• 1

How far would it be if you ran diagonally across the field? Round your answer to the nearest tenth.

How far up the building does the ladder reach? Round your answer to the nearest tenth.

You start at home and walk 56 yards south, then you turn and walk east. When you stop, you determine that you are 200 yards from home. How many yards east did you travel? Draw a picture.

• 256

• 192

• 208

• 144

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