Question

Geometry math question no Guessing and Please show work

Answer 1

This is one of the two tired triangles of trig you should memorize. An isosceles right triangle has its sides in ratio $1:1:\sqrt 2$. That means the hypotenuse is the square root of two times either side.

$u = \sqrt{2} \times \sqrt{2} = 2$

Answer: C

If you didn't know you could write

$v = \sqrt 2$

$v^2 + v^2 = u^2$

$u^2 = 2 + 2 = 4$

$u = 2$