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20 May, 21:21

Is a triangle with two congruent sides always have 45 45 and 90 degrees?

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Answers (2)
  1. 20 May, 21:26
    0
    No.

    Taat triangle is right-angled (one angle = 90 degrees)

    There are many triangles with congruent sides where 2 angles are equal and the other is 180 - sum of these 2, for example

    30 30 120

    50 50 80

    40 40 100 etc ...
  2. 20 May, 22:38
    0
    No. Two angles will have to be the same and the third angle will just be 180° minus twice the smaller angles.

    So if we let the equal angles equal a, and the large angle equal be we have:

    2a+b=180

    So there are infinitely many values that a and b can have.

    a = (180-b) / 2, so the smaller equal angles have the range (0,90)

    b=180-2a, so the larger has a range of (0,180)
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