Which statement is valid when a circumscribed circle of an acute triangle is
constructed?
A. The longest side of the triangle lies on the diameter of the circle.
B. The circle is drawn inside of the triangle and touches all three sides.
C. The center of the circle is in the interior of the triangle.
D. The vertices of the triangle lie on the circle.

Explanation:

For any acute triangle, the center of the circle is always inside the triangle.

For any right triangle, the center of the circle is the midpoint of the hypotenuse. The hypotenuse is the diameter of the circle.

For any obtuse triangle, the center of the circle is outside the triangle.

Let's look at the answer choices more closely

A. False. This is only true if we have a right triangle as mentioned earlier.

B. False. This describes an inscribed circle.

C. True. As stated earlier.

D. True. This is based on how the circumscribed triangle is defined. It is set up to be the circle that goes through all three vertex points of a triangle. In other words, it is the smallest circle to completely enclose the given triangle.

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step-by-step explanation:

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step-by-step explanation: