The hypotenuse BC = a of a right-angled triangle ABC is divided into n equal segments where n is odd. The segment containing the midpoint of BC subtends angle α α at A. Also h is the altitude of the triangle through A. Prove that 
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Let LN be the segment of the side BC containing its midpoint M. We have 
. Let AH be the altitude from A on BC, with AH = h. Also ∠ ∠ LAN = α α . Let ∠ ∠ NAH = θ θ ⇒ ⇒ ∠ ∠ HAL = α α - θ θ .From Δ Δ AMH, we have 
. Also 
Now 
.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems