A) A.P.
B) G.P.
C) H.P.
D) None of these
Correct Answer: C
Solution :
[c] \[{{\Delta }_{1}}=\frac{1}{2}ra,\] \[{{\Delta }_{2}}=\frac{1}{2}rb,\] s\[{{\Delta }_{3}}=\frac{1}{2}rc\] \[{{\Delta }_{1}},{{\Delta }_{2}},{{\Delta }_{3}}\]are in A.P. So, a, b, c are in A.P. Let A be the area and x, y, z be the altitudes of the triangle ABC. Then \[x=\frac{2\Delta }{a},\,y=\frac{2\Delta }{b},\,z=\frac{2\Delta }{c}\] Hence, x, y, z are in H.P.You need to login to perform this action.
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