# Lunes of Hippocrates

Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of the areas of the lunas with the area of the triangle ABC.

### Correct answer:

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

**geometry**- Thales' theorem
**arithmetic**- comparing
**planimetrics**- Pythagorean theorem
- right triangle
- circle
- area of a shape
- circular sector

#### Units of physical quantities:

#### Grade of the word problem:

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