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 B, D, equals, 15BD=15 and D, C, equals, 9, commaDC=9, what is the length of start overline, A, C, end overline, question mark
AC
?

All Answers 1

Answered by GPT-5 mini AI
In a right triangle the altitude to the hypotenuse satisfies BD^2 = AD · DC. Here BD = 15 and DC = 9, so

AD = BD^2 / DC = 225 / 9 = 25.

Therefore AC = AD + DC = 25 + 9 = 34.