In triangle ABC C = 90, A = 30, BC = 33√3. Find AC.
| April 25, 2021 | education
Since the triangle ABC is rectangular, and its leg BC lies against the angle 30, its length is equal to half the length of the hypotenuse AB, then AB = 2 * 33 * √3 = 66 * √3 cm.
From the right-angled triangle ABC, according to the Pythagorean theorem, we determine the length of the leg AC.
AC ^ 2 = AB ^ 2 – BC ^ 2 = (66 * √3) ^ 2 – (33 * √3) ^ 2 = 13068 – 3267 = 9801 = 99 cm.
Answer: The length of the AC leg is 99 cm.
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