https://file.aiquickdraw.com/mathbot/file/1726288852496bqxkl1g2.jpg

Let's take a look at the image you uploaded and go over the mathematical problems presented.

We will start with **Problem 2.192**, which asks for the difference between the areas of the grey parts \(S_1 - S_2 - S_3\), where a triangle \(ABC\) with sides \(AC = 3\), \(BC = 5\), and \(AB = 7\) is inscribed in a semicircle.

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Let ABC be a triangle, such that AC = 3, BC = 5, AB = 7 and its each side is the diameter of a semicircle. Let S1, S2, S3 be the areas of the grey parts. What is the value of S1 + S2 - S3?

Solve a geometry problem where a triangle ABC with sides 3, 5, and 7 is inscribed in a semicircle, and the areas of the grey parts (S1, S2, S3) are compared. This problem uses the Pythagorean theorem and area formulas for triangles and semicircles. Suitable for high school students in Grades 10-12.

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