In a right-angled triangle ABC with a right angle C, the height CD is drawn. AC = 2cm, CAD = 60 degrees. Find AD.

univerkov | March 11, 2021 | education

Since CD is the height of a right-angled triangle, triangles BCD and ACD are rectangular.

In a right-angled triangle, the sum of the acute angles is 90, then the angle ACD = (90 – CAD) = (90 – 60) = 30.

Leg AD lies opposite angle 30, then its length is equal to half the length of the hypotenuse AC.

AD = AC / 2 = 2/2 = 1 cm.

Answer: The length of the segment AD is 1 cm.

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