Question

Solve for x help it's due today​

Answer 1

x=
`8√(2)` or 11.31

Explanation:

You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.

Side C= 16

Side A= Side B

45-45-90 Formula

Side C=
`a√(2)`

16=
`a√(2)`

`(16= a√(2))^(2)`

256=
`2a^(2)`

128=
`a^(2)`

`√(128)`=a

a=
`8√(2)` or 11.31

Answer 2

x = 8√2

Explanation:

use the pythagorean theorem with the 2 sides being the same

16^2 = x^2 + x^2

256 = 2x^2

Divide both sides by 2

128 = x^2

Take the square root of both sides

x = √128

x = √(64 * 2)

x = 8√2