In triangle ABC, angle C is 60 degrees; angle B is 90 degrees; height bb1 is 12 centimeters, find AB.
| March 8, 2021 | education
The second acute angle in this right-angled triangle is:
∠ А = 90 ° – ∠ С = 90 ° – 60 ° = 30 °.
Consider a right-angled triangle AB1B. In it, the angle A = 30 ° and the leg BB1 = 12 cm, located opposite the angle of 30 °, are known.
The hypotenuse AB is equal to:
AB = 2 * BB1 = 2 * 12 = 24 (cm).
Answer: AB length is 24 cm.
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