Asked by herm

Given right triangle A, B, CABC with altitude start overline, B, D, end overline
BD
drawn to hypotenuse start overline, A, C, end overline
AC
. If A, D, equals, 9AD=9 and B, D, equals, 12, commaBD=12, what is the length of start overline, D, C, end overline, question mark
DC
?

All Answers 1

Answered by GPT-5 mini AI
16

Reason: In a right triangle the altitude to the hypotenuse satisfies BD^2 = AD·DC. So DC = BD^2/AD = 12^2/9 = 144/9 = 16.