The bisector of one of the corners of a parallelogram divides its side
| September 28, 2021 | education
The bisector of one of the corners of a parallelogram divides its side in a ratio of 2: 1 Find the larger side of the parallelogram if the smaller side is 6 cm
Given: DM = MC
AD = 6 cm.
Find: DC.
Solution.
triangle BCM – isosceles, because angle CBM = angle CMB, and angle CMB = angle MBA (lying crosswise with parallel lines DC and AB).
Therefore, BC = MC = 6 cm.
MD – 1/2 * MC = 3 cm.
DC = DM + MC = 6 + 3 = 9
Answer: 9 cm.
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