Question

What’s the answer please

Answer 1

The length of LK is 52 units.

Explanation:

According to the Euclidean Geometry, if two triangles are similar, then every pair of respective sides are proportional and reports the same ratio. In this case, we construct the following formula:

`(LM)/(LJ) = (LN)/(LK)` (1)

If we know that
`LJ = 39`,
`LM = 21` and
`LN = 28`, then the length of
`LK` is:

`LK = (LJ* LN)/(LM)`

`LK = (39* 28)/(21)`

`LK = 52`

The length of LK is 52 units.