# SOLUTION: find the length of x its a triangle right side is 51 ft left side is x and bottom is 45 ft

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 87841: find the length of x its a triangle right side is 51 ft left side is x and bottom is 45 ftFound 2 solutions by jim_thompson5910, Earlsdon:Answer by jim_thompson5910(28485)   (Show Source): You can put this solution on YOUR website!Since we have a triangle with legs of 51 , 45 and a hypotenuse of x(our unknown side), we can use Pythagoreans theorem to find the unknown side. Pythagoreans theorem Plug in a=51, b=45, and c=x and lets solve for x Square each individual term Combine like terms Take the square root of both sides Simplify So our answer is which approximates to Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!With the limited information you have supplied, x could be any number with the following constraints: Do you see why this is so? Imagine two sticks, one 51 ft. long and the other 45 ft. long. Imagine that these sticks are joined at one end by a hinge that allows you to open and close them like a door. Well, let's say that you can join the two unconnected ends together with another stick whose length is x ft to form a triangle. You can easily see that the length of x depends entirely upon how wide open the two sticks are, doesn't it? So, to find the length of x, you need to provide an angle. Is the triangle a right-triangle? If it is, then you can use the Pythagorean Theorem to figure out the length of x. Let's assume that you forgot to mention that it is a right triangle. We can find the length of x using the Pythagorean Theorem: But to do this, we have to make another assumption about which side is the hypotenuse...is it 51 ft. or is it x ft. (It can't be 45 ft because the hypotenuse of a right triangle is always the longest side). Let's assume that x is the hypotenuse, then: feet. Now let's assume that 51 ft is the length of the hypotenuse, then: feet.