Question

Please help with this one the value of x is :)

Answer 1

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 $\sqrt{2}$ times bigger than the legs(12 in this case). This can be proved with the Pythagorean Theorem!

Thus, it is $12\sqrt{2}$

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!

$Hypotenuse^{2} =a^{2}+a^{2} \\Hypotenuse=\sqrt{2*a^{2} } \\Hypotenuse= \sqrt{2} a$

So, there you go! Hope this helps!

Stay Safe, I think I'll go to sleep...

Answer 2

not in the mood for math but i can promise its not less than 12, so either C or D.