Answer:
Look below to find out!
Step-by-step explanation:
So, when you have this problem, notice how you have two 45(degree) angles and a right angle, thus, it is a isosceles right angle(according to the base angles theorem converse)!
Thus, in a right isosceles triangle, the hypotenuse(x) is [tex]\sqrt{2}[/tex] times bigger than the legs(12 in this case). This can be proved with the Pythagorean Theorem!
Thus, it is [tex]12\sqrt{2}[/tex]
Now, this sounds boring(in the way I explained it) and you are wondering where this came from. I can show you where this came from!
Imagine you have a right triangle with legs a. Now, we use Pythagorean Theorem solve for the hypotenuse!
[tex]Hypotenuse^{2} =a^{2}+a^{2} \\Hypotenuse=\sqrt{2*a^{2} } \\Hypotenuse= \sqrt{2} a[/tex]
So, there you go! Hope this helps!
Stay Safe, I think I'll go to sleep...
