To find the missing side (h), we can use the Pythagorean theorem:
a² + b² = c²
where:
a and b are the lengths of the two shorter sides
c is the length of the hypotenuse (the side opposite the right angle)
In this case:
a = 5.6
b = 7.8
c = h
Plugging the values into the formula:
(5.6)² + (7.8)² = h²
31.36 + 60.84 = h²
92.2 = h²
To find h, we take the square root of both sides:
h = √92.2 ≈ 9.6
So, the length of the missing side (h) is approximately 9.6 units to one decimal place.