Answer: 12
Step-by-step explanation:
A 45 degree angle in a right triangle means that the third angle is also 45 degrees (180 -(90+35)) = 45. Two 45 degree angles in a right triangle means that the two sides will be equal. So we can find the hypotenuse, x, by:
(6[tex]\sqrt{2}[/tex])² + (6[tex]\sqrt{2}[/tex])² = x²
(6[tex]\sqrt{2}[/tex])² = 36*2 or 72
72 + 72 = x²
x² = 144
x = 12
