In the given figure, if AB = 8 cm, AC = 10 cm, ∠ABD = 90° and AD = 17 cm, then the measure of CD is:

8 cm 9 cm 11 cm 10 cm

9 cm

In triangle ABC, h² = b² + p² AC² = AB² + BC² 10² = 8² + BC² BC² =  100 - 64 BC² = 36 BC = 6 cm And in Triangle ABD , AD² = AB² + BD² AD² = AB² + BD² 17² = 8² + BD² BD² = 289 - 64 = 225 BD = 15 cm