Select Page

# geometry problem

Tagged:

Viewing 2 posts - 1 through 2 (of 2 total)
• Author
Posts
• #21769
swastik pramanik
Participant

A triangle ABC is inscribed in a circle of radius 1, with <BAC = 60 degree. Altitudes AD and BE of triangle ABC intersect at H. Find the smallest possible value of the length of the segment AH.

#21776
Tarit Goswami
Moderator

First observe that length of the segment $AH = 2R\cos{\angle{BAC}}$ , where $R$ is the circumradius.

So, $$AH = 2\cdot \cos{60^o} = 1$$

Viewing 2 posts - 1 through 2 (of 2 total)
• You must be logged in to reply to this topic.