The Pythagorean Theorem
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet Jane at the end of her run.

An image displaying a Jane's training for a triathlon by a right angled triangle. The base of the triangle is labeled as Jane's running route, 12 miles. The height of the triangle is labeled as Jane's bike route, 16 miles. The hypotenuse is labeled Trainer's biking route, c. The point connecting the trainer's biking route and Jane's biking route is labeled Health club.
How much farther does Jane travel than her trainer? Answer the questions to find out.

Part A
What is the total distance Jane travels biking and running? Include units with your answer.















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Part B
Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes.















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Part C
Solve your equation to find the distance Jane's trainer bikes. Show your work.















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Part D
How much farther does Jane travel than her trainer?















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