# The diamond

The diamond has an area S = 120 cm

^{2}, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond.### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**algebra**- expression of a variable from the formula
**planimetrics**- Pythagorean theorem
- area of a shape
- rhombus
- diagonal
**basic functions**- ratio

#### Units of physical quantities:

#### Grade of the word problem:

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