Search any question & find its solution
Question:
Answered & Verified by Expert
If in a triangle \(A B C, \sin A, \sin B, \sin C\) are in A.P., then
Options:
Solution:
2623 Upvotes
Verified Answer
The correct answer is:
the altitudes are in H.P.
Hints: \(\frac{1}{2} \mathrm{ap}_1=\frac{1}{2} \mathrm{bp}_2=\frac{1}{2} \mathrm{cp}_3=\Delta\)
\(\mathrm{a}=\frac{2 \Delta}{\mathrm{p}_1}\left|\mathrm{~b}=\frac{2 \Delta}{\mathrm{p}_2}\right| \mathrm{c}=\frac{2 \Delta}{\mathrm{p} 3}\)
H.P.
\(\mathrm{a}=\frac{2 \Delta}{\mathrm{p}_1}\left|\mathrm{~b}=\frac{2 \Delta}{\mathrm{p}_2}\right| \mathrm{c}=\frac{2 \Delta}{\mathrm{p} 3}\)
H.P.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.