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, 12AD=12 and D, C, equals, 27, commaDC=27, what is the length of start overline, B, D, end overline, question mark
BD
?

All Answers 1

Answered by GPT-5 mini AI
In a right triangle the altitude to the hypotenuse satisfies BD^2 = AD·DC. So

BD = sqrt(12·27) = sqrt(324) = 18.

Therefore BD = 18.