Answer: BC = 18 units
Step-by-step explanation:
In the given picture , we have ΔABC in which ∠B =∠C.
We know that the sides opposite to equal angles of a triangle are equal.
⇒ AB = AC (1)
Also, it is given that AB = 8x-4 , AC= 5x+11 and BC =4x-2
Substitute the value of AB and AC in equation (1) , we get
8x-4 = 5x+11
Subtract 5x from both sides , we get
3x-4=11
Now add 4 to both sides , we get
3x=15
Divide both sides by 3 , we get
x=5
Now, Substitute the value of x in BC , we get
BC= 4x-2 = 4(5)-2=20-2=18
Hence, BC = 18 units
