Answer:
BC is 24 units
Step-by-step explanation:
Given that: AB = 7 units
EC = 18 units
From a sketch for the question, we have a triangle ABC. Such that:
AC = AE + EC
But,
AE = AB = 7 (radius of the circle)
So that,
AC = 7 + 18
= 25 units
Applying Pythagoras theorem to triangle ABC, we have:
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]25^{2}[/tex] = [tex]7^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex]/BC/^{2}[/tex] = 625 - 49
= 576
BC = [tex]\sqrt{576}[/tex]
= 24
Thus, BC is 24 units.
