Triangles again!

So, in case 5, the number of triangles is $55$ .

So, in case 6, the number of triangles is $55+36=91$

So, in case 7 , the number of triangles is $91+49 = 140$

So, in case 8, the number of triangles is $140+64=201$

So, in case 9, the number of triangles is $204 +81=285$

So, in case 10, the number of triangles is $285+100 = 385$

So, in case 11, the number of triangles is $385+121= 506$

So, in case 12, the number of triangles is $506 + 144 = 650$

So, in case 13, the number of triangles is $650 + 169 = 819$

So, in case 14, the number of triangles is $819 + 196 = 1015$

So, in case 15, the number of triangles is $1015 + 25 = 1240$

So, in case 16, the number of triangles is $1240 + 256 = 1496$

So, in case 17, the number of triangles is $1496 + 289 = 1785$
So, there are $1785$ triangles in 17 triangles with one base.
So, for two 17 triangles with two different base, the number of triangles is $1785*2=3570$

But, $10$ triangles which are in this figure are not counted by this method. They are:-

So, they total number of triangles in the given figure is $3570+10$ = $3580$