Answer:
A. 5 < AC < 10
Explanation:
We are given the ∆ABC
To solve for the sides of ∆ABC , we make use of Pythagoras Theorem
Pythagoras Theorem states that:
AB² = AC² + BC²
Where AB = Longest side, hence its length is always more that AC and BC.
In the above Question, we are given the values of AB and BC
AB = 10
BC = 5
Inputting these values into the Pythagoras Theorem,
10² = AC² + 5²
100 = AC² + 25
AC² = 100 - 25
AC² = 75
AC = √75
AC = 8.6602540378
According to the above calculation, we can see that the expression that is always true = Option A "5 < AC < 10"