In triangle ABC, an altitude is drawn from vertex C to the line containing AB. The length of this altitude is h and h=AB. Which of the follo

Question

In triangle ABC, an altitude is drawn from vertex C to the line containing AB. The length of this altitude is h and h=AB. Which of the following is true?
I. Triangle ABC could be a right triangle.
II. Angle C cannot be a right angle.
III. Angle C could be less than 45 degrees.

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Maya 3 days 2021-10-11T18:02:30+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T18:03:36+00:00

    Answer:

    II. Angle C cannot be a right angle.

    III. Angle C could be less than 45 degrees.

    0
    2021-10-11T18:04:18+00:00

    Answer:

    All are true

    Step-by-step explanation:

    As per the given condition , all the given options can be true. However for that , the triangle ABC must be an isosceles right triangle which is right angled at B. In that case the altitude from C on AB will be the side BC itself, which as given will be equal to AB , hence it would be an isosceles tight triangle.

    Also as Angle B is right angle, Angle C can not be right angle as we can have maximum one right angle in a triangle .

    Also as the sides AB and BC are equal , the angle A and C must be equal and equals to 60 Degrees.

    In this situation , all the three options could be true.

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