Question 7 of 26MediumMCQ
If in a \[\Delta ABC\], the altitudes from the vertices A,B,C on opposite sides are in H.P, then \[\sin A,\sin B,\sin C\] are in : Solutions · 1
Official solution
\[\Delta = {1 \over 2}{p_1}a = {1 \over 2}{p_2}b = {1 \over 2}{p_3}b\]
p1,p2,p3, are in H.P.
\[ \Rightarrow {{2\Delta } \over a},{{2\Delta } \over b},{{2\Delta } \over c}\] are in H.P.
\[ \Rightarrow {1 \over a},{1 \over b},{1 \over c},\] are in H.P.
\[ \Rightarrow a,b,c\] are in A.P.
\[ \Rightarrow \] \[K\sin A,K\sin B,K\sin C\] are in A.P.
\[ \Rightarrow \] \[\sin A,\sin B,\sin C\] are in A.P. Answer the question to unlock