Given right triangle ABCABC with altitude \overline{BD} BD
drawn to hypotenuse ACAC. If AD=4AD=4 and AC=11,AC=11, what is the length of \overline{AB}
AB
in simplest radical form? (Note: the figure is not drawn to scale.)

Step-by-step explanation:

AD = 4

AC = 11

DC = 11 - 4 = 7

First, find BD using the right triangle altitude theorem:

Plug in the values

Use pythagorean theorem to find x:

x² = AD² + BD²

Plug in the values

Take the square root of both sides

step-by-step explanation:

14.29%

step-by-step explanation: