The perimeter of an isosceles triangle is 42 cm.Find the midline of the triangle if its side is 12.

1. A, B, C – the vertices of the triangle. MK – middle line (parallel to the AC side.

AB = BC = 12 centimeters.

2. Calculate the length of the speaker side:

AC = 42 – (AB + BC) = 42 – 12 – 12 = 18 centimeters.

3. The length of the middle line of the MC is equal to half the length of the parallel side of the AC.

MK = AC: 2 = 18: 2 = 9 centimeters.

Answer: the length of the MK is 9 centimeters.



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