In the triangle ABC AC = BC = 48, height AH = 24. Find the corner C.

univerkov | March 31, 2021 | education

According to the condition of the problem, it is known that AC = BC = 48 cm, and also that AH is the height and is equal to 24 cm.Therefore, the triangle ANS is rectangular, in which: leg AH = 24 cm and hypotenuse AC = 48 cm (by condition), that is, we get that the leg AH = 1/2 * AC.

And by the property of a right-angled triangle: a leg, lying opposite an angle of 30 °, is equal to half the hypotenuse.

This means, since the leg AH = 1/2 * AC, hence the angle ACB = 30 °.

Answer: angle C = 30 °.

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