Asked by rae

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, 3AD=3 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. Thus

BD = sqrt(AD · DC) = sqrt(3 · 27) = sqrt(81) = 9.