Question

If abc is an isosceles triangle with ab=ac=5 and bc=6. if g is centroid of triangle abc then ag is equal to

Answer 1

ab=ac=5 bc=6 bc=ba=6 than angle

Answer 2

Answer:

Step-by-step explanation:

Since isosceles triangle, so median and altitude will coincide.

So, ∆ABD is a right angle triangle at D.

By Pythagoras,

AB^2 = AD^2 + BD^2

Or, 5^2 = AD^2 + 3^2

( BD = 1/2 BC, since AD is median)

Which gives, AD = 4 units.

Now, we have a line AD of 4 units, and we have to divide it into two parts of ratio 2 : 1 = AG : GD, and know AD.

Applying ratio and proportion knowledge,

AG = 4 x 2/3 = 8/3

and, GD = 4 x 1/3 = 4/3 Ans.