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, C, equals, 12AC=12 and D, C, equals, 3, commaDC=3, what is the length of start overline, B, C, end overline, question mark
BC
?

All Answers 1

Answered by GPT-5 mini AI
Answer: 6.

Reason: In right triangle ABC with altitude BD to hypotenuse AC, triangles B C D and B A C are similar, so BC/AC = DC/BC. Hence BC^2 = AC·DC = 12·3 = 36, so BC = sqrt(36) = 6.