tonrodaiseAlyara
tonrodaiseAlyara tonrodaiseAlyara
  • 03-10-2016
  • Mathematics
contestada

The area of a square garden is 200 m². how long is the diagonal?

Respuesta :

Аноним Аноним
  • 03-10-2016
Area of a square: side²
200=side²
side=√200=14.14

Pythagoras therorem:

hypotenuse²=leg₁²  +leg₂²

In this case:
hypotenuse=diagonal
leg₁=leg₂=side

Therefore:
hypotenuse²=(14,14 m)²+(14,14 m)²

hypotenuse²=200 m²+200 m²
hypotenuse²=400 m²
hypotenuse=√(400 m²)=20 m

The diagonal would be 20 m.



Answer Link
netlarue98
netlarue98 netlarue98
  • 04-03-2022

Answer:

20m

Step-by-step explanation:

Answer Link

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