SOLUTION: I need help in solving this problem please one side of the rectangle is 18 inches and the diagonal is 27 inches what it's the length of the other side of the rectangle (answer i

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Question 757698: I need help in solving this problem please
one side of the rectangle is 18 inches and the diagonal is 27 inches what it's the length of the other side of the rectangle (answer in radical form please)
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
I need help in solving this problem please
one side of the rectangle is 18 inches and the diagonal is 27 inches what it's the length of the other side of the rectangle (answer in radical form please)
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Draw the picture.
You have a rectangle with base = 18 and diagonal = 27
Let the height be "x".
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Use Pythagoras to solve for "x":
x^2 + 18^2 = 27^2
x^2 = 405
x = sqrt(405)= sqrt(81*5) = 9*sqrt(5)
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The given side of the rectangle is one leg of a right triangle, the diagonal of the rectangle is the hypotenuse, and the other side of the rectangle, that is the value you want, is the other leg of the triangle. Use:

with our compliments to Mr. Pythagoras, and where is the measure of the diagonal of the rectangle and either or (your choice) is the given measure of the side of the rectangle and either or is the side you need to determine. Substitute the given values and solve for the missing one. Remember to factor the resulting radicand and simplify if possible.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it