# Pythagorean Theorem Review

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 Author: treborprime ID: 25615 Filename: Pythagorean Theorem Review Updated: 2010-07-03 17:58:13 Tags: WGU Pythagorean Theorem Review Folders: Description: WGU Pythagorean Theorem Review Show Answers:

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1. 14.6 Pythagorean Theorem
1) What triangle is used for the theorem?
2) Define the parts of this triangle
• 1) The theorem deals with the applications of Right triangle
• 2) Hypotenuse - longest side of the triangle
• Other two sides are called legs
• One right angle is present
2. State the Phythagorean Theorem
• In any right triangle, if a and b are the lengths of the legs and c is the length of the hypotenuse then
• a2 + b2 = c2
• This is called the Pythagorean equation
3. State the steps used to solve word problems involving the Pythagorean theorem
• 1) read the problem and familarize yourself - visualize and draw the right triangle
• 2) translate this to the pythagorean theorem
• 3) solve the equation - remembering to deal with the square - take sqaure root to solve for base number
• 4) check your solution by plugging it into the equation
4. Solve the word problem
Dimensions of a softball Diamond
A womens fast pitch softball diamond is actually a square 60ft on a side. How far is it from home plate to second base?
Give an exact answer and an approximation to three decimal places.
• 1) Familarize your self - Make a drawing. Note that the first and second baselines, together with a line from home to second,
• form a right triangle. Label the unknown distance d
• 2) translate - use pythagorean equation
• a2 + b2 = c2
• 602 + 602 =d2
• 3) solve the equation
• 3600+3600= d2
• 7200 = d2
• 4) Check - check calculations using the pythagorean equation:
• 602 + 602 = 7200 and (84.853)2 = 7200

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