What’s the answer to this? (geometry)

Use pythagorean's theorem (a^2+b^2=c^2) to find that 10^2 + 24^2 = y plus the hypotenuse of the smaller right triangle (call it g). using the theorem and the well known pythagorean triple, the bigger triangle is a variation of a 5,12,13 triangle (multiples by two) so the bigger triangle's hypotenuse is 26. because the triangles are similar and in a 4:10/2:5 ratio, we know that x:24 is 2:5, making x 9.6. using pythagorean's theorem again, we find that the hypotenuse of the smaller triangle is 10.4. since we know y+g = 26, and we now know that g=10.4, y=26-10.4, making y 15.6.

TL;DR: y=15.6 and x=9.6

38+105= 143, 39+104=143, and you will find then adding the numbers on opposite sides, moving inwards yields the answer 138 every time. because of this, you’re going to multiply 138 times the number of pairs, which is 34. therefore, 34*138= 4692(i’m sorry if it’s the wrong numbers, but it’s the right concept)