# The hypotenuse of a right-angled triangle is 6 cm, one of the legs is 3√3. Find sharp corners.

September 20, 2021 | education

| The cosine of the angle of a right-angled triangle is the ratio of the adjacent leg to the angle to the hypotenuse of the triangle.

CosBAC = AB / AC = 3 * √3 / 6 = √3 / 2.

Angle BAC = arcos (√3 / 2).

Angle BAC = 60.

The sum of the angles of the triangle is 180, then the angle ACB = 180 – 90 – 60 = 30.

Answer: The acute angles of the triangle are 30 and 60.

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