I'm confused on how to find x

Mathematics

1 answer:

azamat3 years ago

7 0

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be $\sqrt2$ .

We can then solve for x using the Pythagorean theorem:

$\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2$

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be $\sqrt2$ times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

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