Question

Geometry math question no Guessing and Please show work

Answer 1

The ans is Option A as
We can find the length of hypotenuse by Pythagoras theorem -
$(a) {}^{2} + (b) {}^{2} = (c) {}^{2} \\ 2 {}^{2} + 3 {}^{2} = (hypotenuse) {}^{2} \\ 4 + 9 = (h) {}^{2} \\ 13 = (h) {}^{2} \\ or \: (h) {}^{2} = 13 \\ h = \sqrt{13}$