Respuesta :

Answer:

11. x=16

12. [tex]\sqrt{1081}[/tex] or about 32.88

Step-by-step explanation:

11. Since there's a square you know that the side is 12 on the triangle. You can use the Pythagorean theorem (a^2+b^2=c^2) to find x. In this case, it would be 144+x^2=400. x^2=400-144=256 so x=16.

12. You can find the shortest side of the larger triangle by using the pythagorean theorem. So it would be a^2=169-25 so a=12 then you can use the same theorem and x^2=35^2-12^2=1225-144=1081 so x=[tex]\sqrt{1081}[/tex] which is about 32.88