In a right triangle inscribed in a circle, what is the relationship between the

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Question: In a right triangle inscribed in a circle, what is the relationship between the hypotenuse and the diameter of the circle?

Options:

Correct Answer: They are equal

Solution:

In a right triangle inscribed in a circle, the hypotenuse is equal to the diameter of the circle.

In a right triangle inscribed in a circle, what is the relationship between the hypotenuse and the diameter of the circle?

In a right triangle inscribed in a circle, what is the relationship between the hypotenuse and the diameter of the circle?

Step 1: Understand that a right triangle has one angle that is 90 degrees.
Step 2: Know that when a triangle is inscribed in a circle, all its vertices touch the circle.
Step 3: Identify the longest side of the right triangle, which is called the hypotenuse.
Step 4: Recognize that the hypotenuse of the right triangle is opposite the right angle.
Step 5: Learn that the diameter of the circle is the longest distance across the circle, passing through the center.
Step 6: Realize that in a right triangle inscribed in a circle, the hypotenuse is always equal to the diameter of the circle.

Inscribed Right Triangle Theorem – In a circle, a right triangle's hypotenuse is always the diameter of the circle.