Answer:
BC = 24 units
Explanation:
This is an isosceles triangle which always has:
- two legs that are congruent to each other (i.e., equal),
- and two angles that are congruent to each other.
In this triangle, the legs CA and BA are congruent so CA = BA and the angles C and B are congruent to each other so angle C = angle B.
Thus, we can find x by setting CA and BA equal to each other:
(3x - 15 = x + 33) + 15
(3x = x + 48) - x
(2x = 48) / x
x = 24
Thus, x = 24
Since the length of BC is x and x = 24, BC is 24 units long.