First three panels from the top: log L/L_⊙/log T_eff of IL Hya, XX Tri and DM UMa, from Tables 2, 5 and 6, respectively, on theoretical HRDs (Bressan et al. 2012, and post-MS evolution. The dashed tracks are 1 M_⊙ at solar metallicity, as a comparison to the tracks with non-solar abundances of IL Hya and XX Tri. IM Peg is plotted as a reference star with ([M/H] = 0.0, Berdyugina et al. 1999), see text for details. No stars below 0.8 M_⊙ can have reached the giant phase, as the 0.8 M_⊙ already requires a theoretical evolutionary age of 25 Gyr. Bottom: IL Hya, XX Tri and DM UMa compared to Hipparcos stars within 200 pc of the Sun. The measured points for our K giants are all from times of least spottedness.