Applying Pythagorean Theorem

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​Applying Pythagorean Theorem

Steps to solving application problems. ​

Given the measurements. Lable your diagram. ​

​2. Lable the Diagram.

​3. Solve missing measure.

​1. Draw a diagram.

​Steps to Applying Pythagorean Theorem

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Multiple Choice

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.

Multiple Choice

What is the third step in solving application problems involving Pythagorean Theorem?

• Draw a diagram

• Solve missing measure.

• Write Pythagorean Theorem Formula.

• Lable the diagram.

In the following examples, please solve the problems using the 3 steps to solving application problems.

Multiple Choice

A car travels 6 miles due north then makes a turn due west. it travels 7 miles west. How far is the car from its starting point?

Which variable is missing?

• a

• b

• c

Multiple Choice

A car travels 6 miles due north then makes a turn due west. it travels 7 miles west. How far is the car from its starting point?

Which equation corresponds to the problem?

• $$6^2+b^2=7^2$$  

• $$a^2+7^2=6^2$$  

• $$6^2+7^2=c^2$$  

Multiple Choice

A car travels 6 miles due north then makes a turn due west. it travels 7 miles west. How far is the car from its starting point?

Find the missing measure. Round to the nearest tenth.

• $$c=9$$  

• $$c=9.2$$  

• $$c=9.3$$  

Multiple Choice

Michelle Delivers books to school libraries. Her truck has a slide out ramp for unloading the books. The top of the ramp is 3 feet above the ground. the ramp itself is 6 feet long. what is the horizontal distance the ramp reaches?

Draw a diagram. What is the measurement of the hypotenuse?

• C = 3

• C = 6

• Measurement not given.

Multiple Choice

Michelle Delivers books to school libraries. Her truck has a slide out ramp for unloading the books. The top of the ramp is 3 feet above the ground. the ramp itself is 6 feet long. what is the horizontal distance the ramp reaches?

Which equation represents the situation?

• $$3^2\ +\ b^2\ =\ 6^2$$  

• $$3^{2\ }+6^{2\ }=c^2$$  

• $$6^2+b^{2\ }=3^2$$  

Multiple Choice

Michelle Delivers books to school libraries. Her truck has a slide out ramp for unloading the books. The top of the ramp is 3 feet above the ground. the ramp itself is 6 feet long. what is the horizontal distance the ramp reaches?

Find the missing measure. Round to the nearest tenth.

• b=5.2

  a=5.2

• b=5.1

  a=5.1

• b=5.19

  a=5.19

Multiple Choice

Pete has a 15-foot ladder. The safety instructions recommended he should have the base of the ladder 6 feet from the base of the wall he will lean the ladder against. How high will the ladder reach on the wall?

What is the missing measure. Round to the nearest tenth.

• a=13.7

  b=13.7

  c=13.7

• a=16.2

  b=16.2

  c=16.2

• No solution.

  Negative root.

Multiple Choice

A local businessman bought a square plot of land. The sides of the lot measure 32 feet on each side. He decides to split the lot into two equal-sized right triangles by putting a fence down the diagonal. Approximately how many feet of fencing will they need?

Find the missing measure. Round to the nearest tenth.

• c=45.3

• c=0

• c=45.2

• c=45.25