In an isosceles trapezoid, the diagonals are perpendicular. Height 15 cm. Find the midline.
| July 28, 2021 | education
1. A, B, C, D – tops of an isosceles trapezoid. RK middle line.
2. From the top B we lower the perpendicular BH to the base of AD.
3. Since, according to the problem statement, the diagonals of this trapezoid are perpendicular, then, according to its properties, the length of the middle line is equal to the height of this geometric figure:
BH = PK = 15 centimeters.
Answer: the length of the middle line of the RK trapezoid ABCD is 15 centimeters.
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