SOLUTION: The perimeter of a rhombus is 40 cm, and one diagonal is 12 cm long. How long is the other diagonal? This question was already answered, but I don't understand the solution pos

Question 717056: The perimeter of a rhombus is 40 cm, and one diagonal is 12 cm long. How long is the other diagonal?
This question was already answered, but I don't understand the solution posted. Please help me!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
All 4 sides in a rhombus have the same length and that makes the perimeter
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The diagonals split the rhombus into 4 congruent triangles, like this:
In the right triangle with the colorful side measurements marked, the vertical leg (red) is half of the 12 cm diagonal, so it measures 6 cm.
The hypotenuse is the blue side of the rhombus, measuring 10 cm.
The horizontal leg (green) measures x cm, and is half of the (green) horizontal diagonal.
According to the Pythagorean theorem about right triangles,
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The length of the other (green) diagonal is
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