In the parralerogram ABCD, the diagonals AC and BD are 11cm and 8cm, respectively.
| January 10, 2021 | education
In paralerogram ABCD, the diagonals AC and BD are 11cm and 8cm, respectively. Find the perimeter of triangle BCD if the perimeter of triangle ABC is 23cm.
The perimeter of the triangle ABC is equal to: Ravs = (AB + BC + AC) = (AB + BC + 8) = 23.
(AB + BC) = 23 – 8 = 15 cm.
The perimeter of the ВСD triangle is: Rvsd = (СD + ВС + ВD) = (СD + ВС + 11).
In a parallelogram, opposite sides are equal, AB = СD, BC = AD. Then:
Rvsd = (AB + BC + 11) = 15 + 11 = 26 cm.
Answer: The perimeter of the ВСD triangle is 26 cm.
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