EXPLANATION
IF O is a midpoint of TA, then TO is a half of TA and
TA = 2*TO
TA= 2* 10 = 20
So, TA = 20
Then, CT = 24
Now, we need to find the CA length.
If GO=6, The sides of the triangle formed by connecting the midpoints are half the sides of the original triangle.
So, in this case, is side GO=6 then side CA is equal to 12.
CA=12
So, the perimeter is equal to the sum of the sides TA+CT+CA
Perimeter = TA+CT+CA = 20 + 24 + 12 = 56
The perimeter of △CAT is equal to 56