Question

Solve for x and y. Express your answer in simplest radical form (if it's not an integer) Will become a fan and give a medal to anyone who helps please??

Answer 1

pythagorean theorem
x^2 + rt2^2 = y^2
sin 45 = rt2/y = x/y

x/sin 45 = rt2/sin 45

for a right triangle with equal angles the sides are equal so x = rt2

Answer 2

rt2^2 + rt2^2 = y^2
2*rt2^2= y^2
rt2^2 = 2
so 2*2 = y^2
4 = y^2 y = 2

Answer 3

You can notice its a 45-45-90 triangle and also an isosceles triangle.

So x would also equal sqrt 2

And you can easily solve for y using the pythagoreom theorem
(Sqrt 2)^2 + (sqrt 2)^2=y^2
2+2=y^2
4=y^2
Then square root both sides to find y
So y=2

Answer 4

Thank you so much guys!! It really helped.