In ΔABC, AC = BC, and the length of the base AB is 10 cm. If CG = 8 cm, where G is the centroid, then what is the length of AC ?
Answer & explanation
Correct answer: option 1
We know that,
The medians are divided into a 2 :1 ratio by the centroid
We have,
AC = BC,
AB = 10 cm.
CG = 8 cm
In the diagram, CD is median,
So, GD = 4 cm
AD = BD = 5 cm
As ΔABC is an Isosceles triangle ,
So, AC = √(122 + 52)
= AC = √(144 + 25)
= AC = √169 = 13