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.
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
?
1 answer
1 answer