Respuesta :

Answer:

1. x = 4, y = √32

2. x = √243

Step-by-step 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,