The median BD of triangle ABC splits it into two triangles, the perimeters of which are 32cm and 36cm.
| December 1, 2020 | education
The median BD of triangle ABC splits it into two triangles, the perimeters of which are 32cm and 36cm. Find the perimeter of triangle ABC if BD = 10cm
decision
Pabd = BD + AB + AD
Pbdc = BD + DC + BC
Pabd = 32
Pbdc = 36
AB + AD = Pabd-BD
DC + BC = Pbdc-BD
AB + AD = 22
DC + BC = 26
Pabc = AB + AD + DC + BC
Pabc = 22 + 26 = 48cm
Answer: 48 cm
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