Answer:
6√3 centimeters
Explanation:
This is an isosceles triangle because two of the sides are the same. We can divide this into two triangles to make two right triangles, and use the Pythagorean theorem. The base (a) will be divided by 2.
Pythagorean theorem: a^2 + b^2 = c^2
a and b are the legs of the triangle. c is the hypotenuse.
Let's replace the variables with the given information we know.
The hypotenuse is 6. One of the legs is 3. the other leg is a/2.
3^2 + b^2 = 6^2
9 + b^2 = 36
b^2 = 27
b = √27 = 3√3
Since this was for half of the base, we will multiply it by 2.
3√3 x 2 = 6√3
That is our answer.
I hope this helps.