Question

Find CE. Please explain step by step!

Answer 1

Explanation:

BE=BC=25 in

trg BCE isosceles so CE=2✓25^2-20^2

=2"✓625-400=2*✓225=2*15

CE=30

Answer 2

30

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.