Would the missing value be 12cm?

The missing value, y = 24

Step-by-step explanation:

The triangles are similar, so the sides are proportional.

The length of side BD is 10. The segment AD is also 10. Add them to get the length of side AB.

DE is 12  

12:10 = y:20 . 20/10 = 2    2×12 = 24

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.