Two vertical guardians
When BD and CE become the two heights of △ABC, it is observed that ∠ADB and ∠AEC are both equal to 90, just like two vertical guardians, silently guarding △ABC.
The beauty of golden ratio
Because ∠A=∠A, δ△ADB and δ△AEC have formed a similar fate under the traction of angle. So the ratio of AD and AE is equal to the ratio of AB and AC! It seems to be the golden ratio of nature, which is amazing.
Similar magic
Combining ∠A=∠A, △ADE and △ABC with the same * * also completed a beautiful encounter under similar magic. The charm of geometry lies in that every corner and every edge is telling the mystery and beauty of the universe.