2. In equilateral triangle CME, MB is an altitude and DE is an angle bisector. If BE = 27 - 5x and DM= 5x - 3, what is the length of a side?

24units

Step-by-step explanation:

Since the triangle CME is an equilateral triangle, hence all the sides are equal. This shows that BE =DM

Given that;

BE = 27 - 5x

DM= 5x - 3

On equating, we will have;

27-5x = 5x - 3

-5x-5x = -3-27

-10x = -30

x = 30/10

x = 3

Length of EC = 2BE

EC = 2(27-5x)

EC = 2(27-5(3))

EC = 2(27-15)

EC = 2(12)

EC = 24

Hence the length of a side is 24units

yeet

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