I REALLY NEED HELP WITH THIS MATH QUIZ!!

Question

xy

45°(inside the triangle in corner)

This has to do with special right triangles and I just don't get how to solve it.

Answer options:

A.x=5, y=5

b. x=5√2, y=5√2

------- ---------

2 2

c.x=10, y=10

Answer 1

Yes, you are on the correct track. This question is based on the 45-45-90 special triangle with side lengths 1 (leg), 1(leg), sqrt2 (hypotenuse).

So compare the hypotenuse of your triangle (5sqrt2) with the special triangle hypotenuse (sqrt2) ... so your triangle is 5 times the size of the special triangle.

The legs in your triangle, x and y, will also be 5 times larger than the special triangle ... so the legs in your triangle, x and y, are 5 units long (5 times 1).... answer (a)

Hope that helps!