Answer:
x is equal to 12, y is equal to 12√2, or approximately 16.97
Step-by-step explanation:
This can be done in multiple ways, but the easiest is to realise that we are given two angle, which allows us to calculate the third.
Because the bottom left corner is 90 degrees, and the bottom right is 45 degrees, that means that the top angle is also 45 degrees. We can say this because we know that the sum of the angles inside a triangle must add up to 180 degrees.
Because those two angles are the same, we know that this is not only a right triangle, but also an isosceles triangle, with two lengths of the same size. In this case then the bottom side, x is equal to the left side: 12m.
From that we can work out y, the hypotenuse of the triangle, using the Pythagorean theorem:
[tex]y = \sqrt{12^2 + 12 ^2} \\y = \sqrt{144 + 144}\\y = \sqrt{288}\\y= 12\sqrt{2}\\[/tex]
So y, the length of the hypotenuse is equal to 12√2, or approximately 16.97
