Answer
$ \frac{3\sqrt 2}{4} $
or Approximately 1.06 unit
Work Step by Step
Given that each of the shorter sides is $ \frac{3}{4}$
In a 45°–45°–90° triangle, if each of the shorter side is 'x'. then as per Pythagorean theorem-
$Hypotenuse^{2}$ = $x^{2} + x^{2}$ = 2$x^{2}$
Therefore hypotenuse = $x\sqrt 2$
Therefore hypotenuse of given triangle = $ \frac{3}{4} \times \sqrt 2$
= $ \frac{3\sqrt 2}{4} $
$Hypotenuse \approx \frac{3}{4} \times 1.414$
$Hypotenuse \approx 1.06$
