Answered

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.)

Given Right Triangle A B C ABC With Altitude B D BD Drawn To Hypotenuse A C AC If A D 3 AD3 And A C 13 AC13 What Is The Length Of A B AB In Simplest Radical For class=

Answer :

LAZYBUNGO
Answer; x = sqrt(39)

Explanation:

x^2 = AD x AC

And AD = 3, AC = 13

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

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