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Find the area of the shaded region:
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| Photo by Math Principles in Everyday Life |
Solution:
Consider the given figure above
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| Photo by Math Principles in Everyday Life |
We noticed that the longest side of a triangle is also the diameter of a circle. If that's the case, the inscribed triangle is a right triangle. That is also a theorem. Let's prove that the triangle is a right triangle by Pythagorean Theorem as follows
Since both sides of the equation are equal, then the triangle is a right triangle. The base of a triangle is 12 and its altitude is 5.
Therefore, the area of the shaded region is
