Pythagorean Theorem Review
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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

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
 a^{2} + b^{2} = c^{2}
 This is called the Pythagorean equation

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

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
 a^{2} + b^{2} = c^{2}
 60^{2} + 60^{2 }=d^{2 }
 3) solve the equation
 3600+3600= d^{2}
 7200 = d^{2}
 4) Check  check calculations using the pythagorean equation:
 60^{2} + 60^{2} = 7200 and (84.853)^{2} = 7200