SOLUTION: A rectangle is 24 feet long and 10 feet wide and it has a rhombus inside of it by joining the midpoints of each side of the rectangle what is the length of the side of the rhombus

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Question 967877: A rectangle is 24 feet long and 10 feet wide and it has a rhombus inside of it by joining the midpoints of each side of the rectangle what is the length of the side of the rhombus
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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The side of the rhombus forms the hypotenuse of a right triangle with one half the length as one leg and one half the width as the other.
a=one leg=(1/2)length=12 feet
b=other leg=(1/2)width=5 feet
c=side of rhombus=hypotenuse of right triangle
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a%5E2%2Bb%5E2=c%5E2
%2812ft%29%5E2%2B%285ft%29%5E2=c%5E2
144ft%5E2%2B25ft%5E2=c%5E2
169ft%5E2=c%5E2 Find the square root of each side.
13ft=c ANSWER: The sides of the rhombus are 13 feet long.