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)

The length of the midsegment is

Answer 1

Explanation:

Answer 2

Midsegment = 3√13

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