Equilateral triangle abc has a perimeter of 96 millimeters. a perpendicular bisector is drawn from angle a to side bc at point m. what is the length of mc? 16 mm 24 mm 32 mm 48 mm

16 mm  

Step-by-step explanation:

Since ABC is an equilateral triangle, all three sides are the same length.  The perimeter is found by adding together all of these equal sides; letting x represent the length of a side of the triangle, this gives us

x + x + x = 96

Combining like terms,

3x = 96

Dividing both sides by 3,

3x/3 = 96/3

x = 32

Since AM is a perpendicular bisector, it splits BC into two congruent sections. This means the length of MC, half of BC, will be 32/2 = 16.

The answer is A, 16 mm

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step-by-step explanation:

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step-by-step explanation: