Geometry math question no guessing and show work

because the 2 sides are the same, we know this is a 45-45-90 triangle. A 45-45-90 triangle as side lengths of x-x-x√2

because the sides are the same, we know they are the x, so x√2 is the final number

√10*√2 = √20 = √4*5 = B. 2√5

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,