In a right-angled triangle, angle C is 90, CB = 6 cm, angle B is 30. Find AC AB.

univerkov | December 5, 2020 | education

Because angle B = 30 °, then the opposite side of the AC is equal to half of the hypotenuse AB. Then AC = x, AB = 2x. Hence, 4x ^ 2 = x ^ 2 + 36
3x ^ 2 = 36
x ^ 2 = 12
x = √12 = 2√3
AC = 2√3 cm, AB = 4√3 cm.

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