Answer:
1. x = 4, y = √32
2. x = √243
Explanation:
For the first one you can use the 45-45-90 triangle theorem.
This would mean that x would equal to 4.
With this information we can continue using the Pythagorean theorem
a^2 + b^2 = c^2.
4^2 + 4^2 = c^2
32 = c^2
c = √32
For the second one we can use the Pythagorean theorem because two sides are already given. The given sides include a and c, and we need to solve for b, so the equation would be modeled differently.
a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 18^2 - 9^2
b^2 = 243
b = √243
If this is wrong I'm really sorry,