Question

In the diagram below, ABC - DEC. What is the value of x?

A 5
B. 3
C. 6
D. 4
​

Answer 1

The answer is 6.

Explanation:

Answer 2

C

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

`(BC)/(EC)` =
`(AC)/(DC)`, substituting values

`(21)/(7)` =
`(24-x)/(x)` ( cross- multiply )

21x = 7(24 - x) ← distribute

21x = 168 - 7x ( add 7x to both sides )

28x = 168 ( divide both sides by 28 )

x = 6 → C