SOLUTION: THE DIAGONAL OF A RECTANGLE MEASURE 13 CM. THE WIDTH OF THE RECTANGLE IS 5 CM FIND THE LENGTH OF THE RECTANGLE. THE LENGTH OF THE THE RECTANGLE IS __________CM

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: THE DIAGONAL OF A RECTANGLE MEASURE 13 CM. THE WIDTH OF THE RECTANGLE IS 5 CM FIND THE LENGTH OF THE RECTANGLE. THE LENGTH OF THE THE RECTANGLE IS __________CM      Log On


   

Question 360697: THE DIAGONAL OF A RECTANGLE MEASURE 13 CM. THE WIDTH OF THE RECTANGLE IS 5 CM FIND THE LENGTH OF THE RECTANGLE.

THE LENGTH OF THE THE RECTANGLE IS __________CM
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Applying the Pythagorean Theorem a^2 + b^2 = c^2 (diagonal being the hypotenuse)

13cm^2 - 5cm^2 = L^2

169cm^2 - 25cm^2 = L^2

144cm^2 = L^2

12cm = L

the length of the rectangle is 12cm