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, 15BD=15 and D, C, equals, 5, commaDC=5, what is the length of start overline, A, D, end overline, question mark
AD
?
Using similar triangles, we can set up the following proportion:
AC/AD = DC/BD
Substitute the given values:
5/AD = 5/15
Solve for AD:
5AD = 75
AD = 75/5
AD = 15
Therefore, the length of line AD is 15.