In the ABC triangle, the angle c is 90 degrees AB = 3, sinA = √5 / 3. Find the AC.
| May 14, 2021 | education
Determine the length of the BC leg.
SinBAC = BC / AB.
BC = AB * SinBAC = 3 * √5 / 3 = √5 cm.
By the Pythagorean theorem, we determine the length of the leg AC.
AC ^ 2 = AB ^ 2 – BC ^ 2 = 9 – 5 = 4.
AC = 2 cm.
Answer: The length of the AC leg is 2 cm.
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