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4 years ago

Can someone answer this?

Mathematics

1 answer:

FrozenT [24]4 years ago

4 0

For x.
All the right triangles are similar, so
.. hypotenuse/(short side) = x/6 = 6/(x -9)
Multiplying by the product of denominators gives
.. x(x -9) = 36
Two factors of 36 that differ by 9 are 12 and 3, so we have
.. x = 12

For y, we can use the Pythagorean theorem.
y^2 +6^2 = 12^2
y^2 = 144 -36 = 108
y = √108 = √(36*3)
y = 6√3

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