Triangle DEF DE = EF Find P of triangle DEF if height EO = 8cm and P of triangle DEO = 43cm.
| September 23, 2021 | education
Since the triangle DEF is isosceles, its height is also the median of the triangle, then OD = FO = DF / 2.
The perimeter of the DEO triangle is: Pdeo = DE + DO + EO.
43 = DE + DO + 8.
DE + DO = 43 – 8 = 35 cm.
The perimeter of the triangle DEF is: Pdef = DE + DO + OF + EF = 2 * (DE + DO) = 2 * 35 = 70 cm.
Answer: The perimeter of the triangle is 70 cm.
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