Find x & y a. x=45 y =13.1 b. x=30 y=13.1 c. x= 30 y= 13. 1 √2 d. x = 45 y=13.1 √2

The shape above is a square and there is a diagonal which actually bisects the 90° angle. So, x becomes 45°. We can eliminate B and C.

The triangle which formed by the diagonal is a kind of triangle is what we know as a 45-45-90.

This triangles have the rule of "If the legs are x, the hypotenuse is x√2."

In this case the legs are 13.1; and if we knew the rule, we can say quickly that y is 13.1√2.

But let's say we forgot the rule. Now we need to use the long way: Pythogarean theorem.

We know that a=b:
Isolate c by square rooting both sides:
Plug in a:

So, D is the right answer.

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