1 Answer

Tanerax · Answer 1 · 2024-03-17T17:02:56+0000

Answer:

30.4 units

Explanation:

Solution

This Question asks on the concept of Similar Triangles.

Given information from the question, we know that:

DM = MA

CN = NB

DC and AB are parallel.

We can use the ratio formula to find the length of AB based on the length ratio between MN and DC.

$(AB)/(MN) =(MN)/(DC) \\(AB)/(18.7) =(18.7)/(11.5) \\AB = (18.7)/(11.5) * 18.7\\AB = 30.4\ units$

Therefore the length of AB is 30.4 units.