# The perimeter of an isosceles trapezoid is 150 cm, and the lateral side is 30 cm. Find the midline of the trapezoid.

June 27, 2021 | education

| The sides of an isosceles trapezoid are equal, the sum of the lengths of the bases a and b is equal to the difference between the perimeter of the trapezoid P and the lengths of the sides with:

a + b = P – 2 * c = 150 – 2 * 30 = 150 – 60 = 90 cm.

The middle line of trapezoid m is equal to half the sum of the lengths of bases a and b:

m = (a + b) / 2 = 90/2 = 45 cm.

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