SOLUTION: a rectangle has a diagonal that measures 10 centimeter and a length that is 2 centimeter longer thatn the width. What is the width of the rectangle in cenitmeter?
A 5
B 6
C 8
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Question 294591: a rectangle has a diagonal that measures 10 centimeter and a length that is 2 centimeter longer thatn the width. What is the width of the rectangle in cenitmeter?
A 5
B 6
C 8
D 12
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Use the Pythagorean theorem: where c = 10, a = L, and b = W
Substitute
Rearrange into a standard form for quadratice equations.
Factor 2.
so...
Solve by factoring.
Apply the "zero product" rule.
or which means that...
or Discard the negative solution.
This is the width of the rectangle.
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