The base has a side = 6 inches
And the triangle has a side = 6 inches
Now if we divide the base in two parts it will be 3 inches each
So we get as right triangle as shown in the figure
Now we can apply the pythagorean theorem
s^2 +3^2 = 6^2
s^2 +9= 36
s^2 = 36-9
s^2 = 27
s= √(27)
s=3√3 inches
Approximating we get
s= 5.196
s≈5.2 inches
