Three statements are given below: (I) In a ∆ABC in which AB=AC, the altitude AD bisects BC. (II) If the altitudes AD, BE and CF of ∆ABC are equal, then ∆ABC is equilateral. (III) If D is the midpoint of the hypotenuse AC of a right ∆ABC, then BD=AC. Which is true?

Question

Philoid · Accepted Answer

Here we can clearly see that the true statements are as follows:

(I) In a ∆ABC in which AB=AC, the altitude AD bisects BC.

(II) If the altitudes AD, BE and CF of ∆ABC are equal, then ∆ABC is equilateral.

∴ Option C is correct

Three statements are given below:(I) In a ∆ABC in which AB=AC, the altitude AD bisects BC.(II) If the altitudes AD, BE and CF of ∆ABC are equal, then ∆ABC is equilateral.(III) If D is the midpoint of the hypotenuse AC of a right ∆ABC, then BD=AC.Which is true?

Three statements are given below:
(I) In a ∆ABC in which AB=AC, the altitude AD bisects BC.

(II) If the altitudes AD, BE and CF of ∆ABC are equal, then ∆ABC is equilateral.

(III) If D is the midpoint of the hypotenuse AC of a right ∆ABC, then BD=AC.

Which is true?