In triangle ABC, angle A is a straight line, angle B is 60, and side AB is 3 cm. Find the length of side BC.
| February 12, 2021 | education
Since the angle BAC = 90, the triangle ABC is rectangular.
In a right-angled triangle, the sum of its acute angles is 900, then the angle ACB = (90 – ABC) = (90 – 60) = 30.
The AB leg lies opposite an angle of 300, then its length is equal to half the length of the BC hypotenuse.
AB = BC / 2.
BC = 2 * AB = 2 * 3 = 6 cm.
Answer: The length of the BC hypotenuse is 6 cm.
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