In the `!ABC` , the altitudes are in H.P., then

Options

A. angles A,B,C are in A.P.
B. sides a,b,c are in A.P.
C. sinA,sinB,sinC are in A.P
D. none of these

Explanation

To solve the problem, we need to analyze the given condition that the altitudes of triangle \( ABC \) are in Harmonic Progression (H.P.). Let's denote the altitudes from vertices \( A \), \( B \), and \( C \) as \( h_a \), \( h_b \), and \( h_c \) respectively.

### Step-by-Step Solution:

1. **Understanding Harmonic Progression (H.P.)**:
- If three quantities \( a, b, c \) are in H.P., then their reciprocals \( \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \) are in Arithmetic Progression (A.P.).
- Therefore, for the altitudes \( h_a, h_b, h_c \) to be in H.P., we have:
\[
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