Question

What is the length of BC?

Answer 1

BC = 35

Explanation:

Since ∠A is bisected then the following ratios are equal

`(8)/(12)` =
`(x+4)/(2x+1)` ( cross- multiply )

8(2x + 1) = 12(x + 4) ← distribute both sides

16x + 8 = 12x + 48 ( subtract 12x from both sides )

4x + 8 = 48 ( subtract 8 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

BC = x + 4 + 2x + 1 = 3x + 5 = (3 × 10) + 5 = 30 + 5 = 35

Answer 2

Length from BC is 24