Christmas Streak 44/88: Halfway Through!
In the diagram, is the midpoint of
Find the value of to 4 decimal places.
This problem is a part of <Christmas Streak 2017> series .
The answer is 2.2500.
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1 solution
Look at this beautiful diagram that will guide you to the answer right away.
T ′ S × T T ′ = M T ′ 2 ⇔ T ′ S = 8 .
It's pretty obvious that ∠ T ′ Q T = ∠ S R T = 9 0 ∘ .
So T ′ Q / / S R .
Therefore, by similarity, Q T : Q R = T T ′ : T ′ S = 1 8 : 8 = 4 9 = 2 . 2 5 0 0 .