In the given figure, if AB = 8 cm, AC = 10 cm, ∠ABD = 90° and AD = 17 cm, then the measure of CD is:
Answer & explanation
Correct answer: option 2
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