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Home > GC > Chapter 12 > Lesson 12.1.4 > Problem 12-39

12-39.

For each geometric relationship below, determine whether or is larger, or if they are equal. Assume that the diagrams are not drawn to scale. If there is not enough information, explain what information is missing.   

  1. A circle with inscribed angle, labeled, a, and central angle, labeled, b, both intercepting the same arc.

    How does the central angle relate to the inscribed angle?

  1. Triangle with angles labeled: top, 62 degrees, bottom right, 70 degrees, and sides labeled, bottom, a, right, b.

    Find the measure of the last angle.
    How do angles relate to the lengths of the sides?

    Since the angle opposite side '' is bigger, '' must be larger than ''.

  1. Triangle, all sides have 1 tick mark, and bottom side labeled, 6, with title, area of the triangle is, a. Square, all sides have 2 tick marks, and bottom labeled, 4, with title, area of the square is, b.

    Use the given information to find the areas.
    Which is bigger?


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