Question

What is the value of h in the figure below? In this diagram, ABAD - ACBD.

h
16
C
25
A.
16
9
B. 400
C. 12
D.
9
E. 225
0 0
F. 16

Answer 1

Explanation:

12

Answer 2

h =12

Explanation:

`In\: \triangle ABC, \: \angle ABC = 90\degree \: \&\:\\ BD\perp AC`

Therefore, by geometric mean property:

`BD = \sqrt {AD* CD} \\</p><p>h = \sqrt {(AC-CD) * CD} \\</p><p>h = \sqrt {(25-16) * 16} \\</p><p>h = \sqrt {9 * 16} \\</p><p>h = \sqrt {144} \\</p><p>\huge \red {\boxed {h = 12}} \\</p><p>`