mercedesmoon mercedesmoon

01-03-2018
Mathematics

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sqdancefan sqdancefan

11-03-2018

All the right triangles are similar.

x is the short side of the triangle with hypotenuse (2+8)=10.
x is the hypotenuse of the triangle with short side of length 2.

x/2 = 10/x . . . . ratio of hypotenuse to short side is the same for similar triangles
x^2 = 20 . . . . . multiply by 2x
x = √20 ≈ 4.47 . . . . . . . matches selection G

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