anitazavyalova
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i will give brainliest!

Given a rhombus has a side length of 15 and one diagonal has a length of 2x. Find the length of the second diagonal in terms of x. Show all work and leave your answer in radical form.

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Answer:

  2√(225 -x²)

Step-by-step explanation:

Let 2y be the length of the second diagonal. The half-diagonals and the side of the rhombus form a right triangle. The Pythagorean theorem tells us the relationship between sides and hypotenuse is ...

  x² +y² = 15²

  y² = 225 -x²

  2y = 2√(225 -x²2) . . . . the length of the second diagonal

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