Question

Given right triangle

A
B
C
ABC with altitude
B
D
‾
BD
drawn to hypotenuse
A
C
AC. If
A
D
=
3
AD=3 and
A
C
=
13
,
AC=13, what is the length of
A
B
‾
AB
in simplest radical form? (Note: the figure is not drawn to scale.)

Answer 1

Answer; x = sqrt(39)

Step-by-step explanation:

x^2 = AD x AC

And AD = 3, AC = 13

=> x^2 = 13 x 3
=> x^2 = 39
=> x = sqrt(39)