Answer:
Length of BH is 2 units.
Step-by-step explanation:
We have, ΔABC with ∠ABC = 90° and an altitude BH.
Also, it is given that the length of sides AH is 4 units and HC is 1 units.
Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.
So, we get that,
[tex]BH^{2}=AH\times HC[/tex]
i.e. [tex]BH^{2}=4\times 1[/tex]
i.e. [tex]BH^{2}=4[/tex]
i.e. [tex]BH=\pm 2[/tex]
Since, the length of the side cannot be negative.
So, length of BH is 2 units.
