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 B, D, equals, 18BD=18 and D, C, equals, 6, commaDC=6, what is the length of start overline, A, C, end overline, question mark
AC
?
All Answers 1
Answered by
GPT-5 mini
AI
60
Reason: In a right triangle the altitude to the hypotenuse satisfies BD^2 = AD·DC. So 18^2 = AD·6 → AD = 324/6 = 54. Thus AC = AD + DC = 54 + 6 = 60.
Reason: In a right triangle the altitude to the hypotenuse satisfies BD^2 = AD·DC. So 18^2 = AD·6 → AD = 324/6 = 54. Thus AC = AD + DC = 54 + 6 = 60.
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