# A rhombus 4

A rhombus has side length 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution.

### Correct answer:

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

**arithmetic**- square root
**planimetrics**- Pythagorean theorem
- triangle
- diagonal
- rhomboid
**goniometry and trigonometry**- sine
- cosine
- arcsine

#### Units of physical quantities:

#### Grade of the word problem:

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