Answer:
3rd Option is correct.
Step-by-step explanation:
Given: A right angles triangle.
length of the sides of triangle are 4 units , 5 units and x units.
we have to find difference between possible value of x.
We use Pythagoras theorem of right angled triangle to fins the value of x.
Pythagoras theorem states that square of the hypotenuse is equal to the sum of the square of the legs of the triangle.
If x is longest side that is hypotenuse.
then using Pythagoras theorem,
x² = 4² + 5²
x² = 16 + 25
x² = 41
x = √41
x = 6.40 units
If x is shortest side ⇒ 5 is length of hypotenuse.
then using Pythagoras theorem,
5² = 4² + x²
25 = 16 + x²
x² = 25 - 16
x² = 9
x = √9
x = 3 units
Difference of x = 6.40 - 3 = 3.40 unit
Therefore, 3rd Option is correct.
Hope this helps
