Find CE. Please explain step by step!
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Answer:
30
Step-by-step explanation:
We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.
Answer:
Step-by-step explanation:
BE=BC=25 in
trg BCE isosceles so CE=2✓25^2-20^2
=2"✓625-400=2*✓225=2*15
CE=30