Question

In △ABC, m∠ACB=90°, m∠ACD=60°, CD is the altitude to AB , and BD = 5 cm. Find Ac

Answer 1

AC = 10√3 cm

Explanation:

The side lengths of a 30°-60°-90° triangle have the ratios 1 : √3 : 2.

In this geometry, ...

BC = 2·BD = 2(5 cm) = 10 cm.

AC = √3×BC = 10√3 cm