Answer:
The length of LK is 52 units.
Step-by-step 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:
[tex]\frac{LM}{LJ} = \frac{LN}{LK}[/tex] (1)
If we know that [tex]LJ = 39[/tex], [tex]LM = 21[/tex] and [tex]LN = 28[/tex], then the length of [tex]LK[/tex] is:
[tex]LK = \frac{LJ\times LN}{LM}[/tex]
[tex]LK = \frac{39\times 28}{21}[/tex]
[tex]LK = 52[/tex]
The length of LK is 52 units.
