Answer:
Length of the side AC is 12 units.
Step-by-step explanation:
Here, in the triangle ABC
Base = 5 units
Let, Perpendicular = k units
Hypotenuse = 13 units
In a Right angle triangle, by PYTHAGORAS THEOREM:
[tex](Base)^{2} + (Perpendicular)^{2} = (Hypotenuse)^{2}[/tex]
Similarly, in triangle ABC
[tex](AB)^{2} + (AC)^{2} = (BC)^{2}[/tex]
or, [tex](5)^{2} + (k)^{2} = (13)^{2}[/tex]
⇒[tex]k^{2} = 169 - 25 = 144[/tex]
⇒ k = 12, or k= -12
But as k is the length of a side of a triangle so, k ≠ -12
⇒ k = 12
Hence, the length of the side AC = 12 units.
