A card's color identity, as I understand it, is defined by all mana symbols in its cost and rules text. This means that the color identity of Temple of Silence is black and white, since it has "{T}: add {W} or {B}" in its rules text.
But what about Godless Shrine or Indatha Triome? These lands can also be tapped for various colors of mana, but those colors don't appear in the rules text: the ability comes from the card's subtypes, which don't contain any mana symbols. The mana symbols do appear on the card, but only in reminder text, which as far as I know has no effect on the rules.
So, what is the color identity of a land that taps for colored mana (because of its subtypes), but contains no mana symbols in its rules text? For a specific example, if my commander is Elenda, the Dusk Rose, can I include an Indatha Triome in my deck?