In an isosceles trapezoid ABCD, points M and N are the middle of the diagonals AC and BD
| September 23, 2021 | education
In an isosceles trapezoid ABCD, points M and N are the middle of the diagonals AC and BD, respectively. Find the length of the segment MN if BC = 10, AD = 16.
Let us use the property of the line segment connecting the midpoints of the diagonals of the trapezoid.
“The length of the segment connecting the midpoints of the diagonals of the trapezoid is equal to the half-difference of its bases.”
MN = (AD – BC) / 2 = (16 – 10) / 2 = 6/2 = 3 cm.
Answer: MN = 3 cm.
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