Today's question of the day

Level 2
  1. Let ABC be a triangle with ∠A = 90◦ and AB = AC. Let D and E be points on the segment BC such that BD : DE : EC = 3 : 5 : 4. find ∠DAE ? .


The answer is 45.

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1 solution

Nathaniel Zietlow
Sep 24, 2020
  1. Use Pythagorean theorem to find that A B = A C = 6 2 AB = AC =6 \sqrt{2}
  2. Use law of cosines to find that A E = 2 10 AE = 2\sqrt{10}
  3. Use law of cosines to find that A D = 3 5 AD = 3\sqrt{5}
  4. Use law of cosines to find that angle D A E = 45 ° DAE = 45 \degree

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