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.

Answer 1

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.

Answer 2

Answer:

II. Angle C cannot be a right angle.

III. Angle C could be less than 45 degrees.