# Area and two angles

Calculate the size of all sides and internal angles of a triangle ABC if it is given by area S = 501.9; and two interior angles α = 15°28' and β = 45°.

### Correct answer:

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

**geometry**- similarity of triangles
**planimetrics**- area of a shape
- triangle
- The Law of Sines
- Heron's formula
**goniometry and trigonometry**- sine

#### Units of physical quantities:

#### Grade of the word problem:

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