Answer:
x = 2√5 or 4.5
Explanation:
Recall the leg rule which is given as:
Hypotenuse/leg = leg/part
Hypotenuse = 8 + 2 = 10
Leg = x
Part = 2
Plug in the values
10/x = x/2
Cross multiply
x*x = 10*2
x² = 20
Take the square root of both sides
√x² = √20
x = √(4*5)
x = 2√5 or 4.5