reagan938373 reagan938373
  • 16-05-2022
  • Mathematics
contestada

10) A rhombus has a
diagonal 8.6 mm long
and an area of 81.7 mm. what is the
perimeter?


Respuesta :

kristofersyvari
kristofersyvari kristofersyvari
  • 16-05-2022

Answer:

P=41.72

Step-by-step explanation:

S=ACxDB/2

81.7=8.6xDB/2

81.7=4.3xDB|:4.3

19(mm)=DB

DO=19/2=9.5

OC=8.6/2=4.3

(O is the center of the rhombus, where two diagonals meet)

a²+b²=c² (DO²+OC²=DC²)

9.5²+4.3²=c²

90.25+18,49=c²

√108,74=√c²

c≈10.43

P=4c

P=4x10.43

P=41.72

Hope it helps:)

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