In a right-angled triangle ABC, angle C = 90 °, angle B = 30 °, angle AB = 18 cm. Find AC.

univerkov | July 10, 2021 | education

Since triangle ABC is rectangular, then SinABC = AC / AB.

AC = AB * SinABC = 18 * 1/2 = 9 cm.

The length of the leg of a right-angled triangle lying opposite the angle of 300 is equal to half the length of the hypotenuse.

AC = AB / 2 = 18/2 = 9 cm.

Answer: The length of the speaker is 9 cm.

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