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Home > GC > Chapter 12 > Lesson 12.1.3 > Problem 12-29

12-29.

Use the diagram of  at right to answer the questions below. A circle with a diameter A, B, passing through the center, C. Two additional chords, A, D, and B, D, along with the diameter form a triangle. Angle, x, is opposite the B, D, side. Angle, y, is opposite the A, D, side.

  1. If , what is ?

    is a right angle. Why?

    measure of arc

  2. If and , what is the area of ?

    Use the Pythagorean Theorem to find the length of .
    How can you use that length to find the area?

  3. If the radius of is 8 and if , what is ?

    Draw radius . Use the fact that and the Law of Sines to find .