Which of the following best describes BD?

A. The altitude drawn to the longer leg of ΔABC.
B. The altitude drawn to the hypotenuse of ΔABC.
C. The median drawn to the hypotenuse of ΔABC.
D. The perpendicular bisector of the hypotenuse of ΔABC.

http://roads.advancedacademics.com/coursecontent/math/geom2004/geoma_unit6/unit6_ch2_hw_files/image001.gif

Question

Which of the following best describes BD? 
 
	A.	The altitude drawn to the longer leg of ΔABC.
	B.	The altitude drawn to the hypotenuse of ΔABC.
	C.	The median drawn to the hypotenuse of ΔABC.
	D.	The perpendicular bisector of the hypotenuse of ΔABC.

http://roads.advancedacademics.com/coursecontent/math/geom2004/geoma_unit6/unit6_ch2_hw_files/image001.gif

directrix · Answer

Segment BD is drawn from a vertex of triangle ABC perpendicular to the opposite side (opposite side of the right angle at vertex B) so by definition it is an altitude drawn to the hypotenuse of the triangle ABC.

anonymous · Answer

Oh, makes sense. Thank you very much!

directrix · Answer

Glad to help.