Right-angled triangle ABC with right angle C, AB = √74, sinA = 5 / √74. find AC.
| September 25, 2021 | education
SinA = BC / AB.
BC = AB * SinA = √74 * 5 / √74 = 7 cm.
By the Pythagorean theorem: AC ^ 2 = AB ^ 2 – BC ^ 2 = (√74) ^ 2 – 5 ^ 2 = 74 – 25 = 49.
AC = 7 cm.
Answer: The length of the speaker side is 7 cm.
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