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Math Help - Triangle CAT

  1. #1
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    Triangle CAT

    In isosceles triangle CAT, the measure of the vertex angle is one-half the
    measure of one of the base angles. Which statement is true about ΔCAT?
    (1) ΔCAT is an equilateral triangle.
    (2) ΔCAT is an acute triangle.
    (3) ΔCAT is a right triangle.
    (4) ΔCAT is an obtuse triangle.
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  2. #2
    Member great_math's Avatar
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    Let the base angles are 2x and 2x so the angle at the vertex=x

    2x+2x+x=180^0

    <br />
5x=180^0

    x=36^0

    2x=72^0

    So angles are 72^0,72^0,36^0

    So it is a ...... Acute triangle
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  3. #3
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    ok.....

    Quote Originally Posted by great_math View Post
    Let the base angles are 2x and 2x so the angle at the vertex=x

    2x+2x+x=180^0

    <br />
5x=180^0

    x=36^0

    2x=72^0

    So angles are 72^0,72^0,36^0

    So it is a ...... Acute triangle
    Great work, brother.
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