Question

what is the value of bc

Answer 1

|BC| = 24.5

Explanation:

It is stared that the triangles are similar triangles.

Since they are similar triangles, we can find the length of the missing side using the ratio of similar sides.

DE/AB = EC/BC

`(6)/(21) = (2x + 3)/(13x - 1.5)`

• Cross multiply expressions

78x - 9 = 42x + 63

• Switch the like terms to the same side of the equation

78x - 42x = 63 + 9

• Add/subtract

37x = 72

• Divide both sides by 37

x = 2

now, replace x with 2 in the given expression for the length of BC:

13x - 1.5 = 13×2 - 1.5

|BC| = 24.5