In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: a Find CD, if BC = 3 in
1 answer:
Answer:
CD = (3/2)√2
Step-by-step explanation:
All the triangles are similar isosceles right triangles, so the hypotenuse in each case is √(1²+1²) = √2 times the length of the corresponding legs. BC is the hypotenuse of ΔBCD, so leg CD is that length divided by √2.
CD = BC/√2 = 3/√2
CD = (3/2)√2
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