Find the value of x.

Answer:x = 6Step-by-step explanation:The hypotenuse of the bigger triangle is 13. Which means that the squares of the other sides have to add to 169 (the square of 13) which we gather from the Pythagoras's theoreom. This clears all the other options except for  x = 6 since the squares of all the other numbers are larger than 169 except [tex]\sqrt{97}[/tex] but looking at the graph, we can tell that x can't be root 97 since it would not slot together with the smaller triangle with the 4.