MN – midline of triangle ABC Find the side of AC if the perimeter of triangle MBN is 15, MB = 4, NC = 5.
| February 13, 2021 | education
Because MN is the middle line of the triangle, then it is equal to half the base of the triangle – AC. Therefore, to find AC, you first need to find MN.
The middle line of the triangle divides the chords in half, therefore BN = NC = 5.
Area of a triangle MBN = 15, therefore MN = P (triangle) – (MB + BN) = 15 – (4 + 5) = 6.
AC = MN × 2 = 6 × 2 = 12.
Answer: A = 12.
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