Question

Please help this is due in like ten minutes.

Answer 1

x =
`√(14)`

Explanation:

Using Pythagoras' identity in both tight triangles.

First in the small triangle to find the third side ( hypotenuse ) h

h² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

h =
`√(2)`

Now use the identity in the larger right triangle

x² + h² = 4²

x² + (
`√(2)` )² = 16

x² + 2 = 16 ( subtract 2 from both sides )

x² = 14 ( take square root of both sides )

x =
`√(14)`