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One side of a Rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are?

One side of a Rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are length of the sides?

So imagine a rectangle and the diagonal is drawn that is 10 m long. Then imagine the two sides of the rectangle are x meters and x+2 meters. Then you have two right triangles with the hypotenuse 10 m long and the legs being x meters and x+2 meters.

Using the Pythagorean Theorem:

x^2 + (x+2)^2 = 10^2
x^2+x^2+4x+4 = 100
2x^2+4x-96 = 0
x^2+2x-48 = 0
(x+8)(x-6) = 0

x = -8, 6. We rule out x = -8 because a side cannot be -8 meters.

So one side is x = 6 meters, and the other is x+2 = 8 meters.

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Tags: side stage, side stage media, side stage seating, side stage seating oracle arena, side stage tickets

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