In a right-angled triangle ABC, angle C is 90 °, angle B is 60 °, BC = 8cm. Find AB.
April 12, 2021 | education
| First, we find the angle A:
Angle A = 90 ° – 60 ° = 30 °
In a right-angled triangle, the leg opposite to an angle of 30 ° is half the hypotenuse.
In our case, the hypotenuse is AB, and BC lies opposite an angle of 30 °.
Hence, AB = 2 * BC
AB = 2 * 8 = 16 cm
Answer: AB = 16 cm
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