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, B, equals, 18AB=18 and A, D, equals, 6, commaAD=6, what is the length of start overline, A, C, end overline, question mark
AC
?
To find the length of AC, we can use the property of similar triangles. Triangle ABD is similar to triangle ADC because they share angle A and both have a right angle.
Let x be the length of AC. Since triangle ABD is similar to triangle ADC, we can set up a proportion:
AB/AD = AD/AC
18/6 = 6/x
3 = 6/x
x = 6/3
x = 2
Therefore, the length of AC is 2.