Question

Find the exact length of the midsegment of the trapezoid with the vertices A(2, 0), B(8,−4), C(12, 2), D(0, 10).

Answer 1

Answer:

Midsegment = 3√13

Step-by-step explanation:

The length of the mid segment of trapezoid is half the sum of the lengths of the two parallel sides, AB and CD

Length of sides AB and CD

length = √(x2-x1)² + (y2-y1)²

AB =√(8-2)²+(-4-0)²

AB = 2√13

length = √(x2-x1)² + (y2-y1)²

CD = √(0-12)²+(10-2)²

CD = 4√13

Formula to use

midSegment = (AB+CD) / 2

                       = (4√13 + 2√13) / 2

                       = 3√13