Pythagorean Word Problems

what is the missing length?

• 50

• 60

• 70

• 80

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

Find h

• 35.60

• 35.00

• 35.71

• 61.03

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

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

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

• 65 miles

• 89 miles

• 45.4 miles

• We don't have enough information.

What is the length of a diagonal of a rectangular picture whose sides are 12 inches by 17 inches? Round to the nearest tenth of an inch. DO NOT INCLUDE UNITS ON YOUR ANSWER.

Find the distance between P and Q.

• 5 units

• 4 units

• 2.6 units

• 3 units

Find the direct distance between the court house and the town hall.

• 26

• 6.8

• 10

• 7.2 km

If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?

• The triangle is not a right triangle

• The hypotenuse is either too long or too short

• The interior angles of the triangle do not add up to 180 degrees

• The triangle contains an obtuse angle