Pythagorean Theorem Word Problems

Pythagorean Theorem Word Problems

By Dana Kuramoto

Pythagorean Theorem Word Problems

​Learning Target: I can apply the Pythagorean Theorem to real-world scenarios.

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Do Now: ​Complete handout and glue into notebook.

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​HOMEWORK: Quizizz Pythagorean Theorem Word Problems HW & IXL F.17 (ALG 1)

​DO NOW:

​A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?

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​Let's work this together!

Multiple Choice

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?

Which diagram best represents the problem

Multiple Choice

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 ft

• 26 ft

• 27 ft

• 28 ft

Multiple Choice

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?

Which equation could be used to solve the problem?

• $$25^2\ +\ 10^2\ =\ c^2$$  

• $$25^2\ +\ b^2\ =\ 10^2$$  

• $$a^2\ +\ 10^2\ =\ 25^2$$  

• $$10^2\ +\ b^2\ =\ 25^2$$  

Multiple Choice

CJ and Kimo are siblings. They go to different schools. CJ walks 6 blocks east from home. Kimo 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

Multiple Choice

Jason attached a string from the top of the flagpole to the ground. The flagpole is 26 feet high and the string is 18 feet away from the flagpole. How long is the string?

• 352 ft

• 31.6 ft

• 44 ft

• 6.6 ft

Multiple Choice

Ches is on 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 ft

• 20 ft

• 180 ft

Multiple Choice

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance back to their starting point to the nearest tenth of a mile?

• 13

• 9.4

• 6.2

• 9

​agenda

1. ​Quizizz Homework Assignment

2. IXL: F.17 Pythagorean Word Problems (ALG 1)​