In triangle ABC, angle C is 90 °, AC = 12, tgA = 2√10 / 3. Find AB
| May 31, 2020 | Education
By definition: tgA = BC / AC => BC = AC * tgA = 12 * 2√10 / 3 = 8√10
By the Pythagorean theorem:
AB2 = BC2 + AC2
AB ^ 2 = (8√10) ^ 2 + 12 ^ 2
AB ^ 2 = 64 * 10 + 144
AB ^ 2 = 784
AB = 28
Answer: AB = 28
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