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Math Help - I need help constructing a triangle!!!!

  1. #1
    Newbie joesmith13610's Avatar
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    I need help constructing a triangle!!!!

    construct triangle from side a, angle (alpha), and radius.
    (but, keep only a part of the condition, drop the other part: disregard the radius, but keep side a and angle (alpha), what is the locus of the center of the inscribed circle?)


    thanks everyone
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by joesmith13610 View Post
    construct triangle from side a, angle (alpha), and radius.
    (but, keep only a part of the condition, drop the other part: disregard the radius, but keep side a and angle (alpha), what is the locus of the center of the inscribed circle?)


    thanks everyone
    I assume that the angle \alpha is opposite the side a.

    If so:

    1. Draw the side a which has the endpoints B and C.

    2. Draw the perpendicular bisector of a.

    3. Draw in B (or C) the angle 90^\circ - \alpha with a as one leg.

    4. The other leg of the angle cuts the perpendicular bisector in M, the midpoint of the circumscribed circle.

    5. Have a look here: Central Angle Theorem - Math Open Reference
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  3. #3
    Newbie joesmith13610's Avatar
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    thank you.

    I'll give this a try.
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