Question

If the angles of a tringle are in $A.P.$ and sides $a,b,c$ be
in $G.P.$ then $a^2,b^2,c^2$ are in

• A. $A.P.$
• B. $G.P.$
• C. $H.P.$
• D. none

Answer 1

The correct option is A $A.P.$

Ans. $\left(a\right)$.
Angles in $A.P.\Rightarrow B\Rightarrow {60}^o\Rightarrow a^2+c^2-b^2=ac$
Again $b^2=ac$ given
$a^2+c^2=2b^2\Rightarrow a^2,b^2,c^2$ are in $A.P.$