ygpriimo28fygg
ygpriimo28fygg ygpriimo28fygg
  • 26-05-2020
  • Mathematics
contestada

12 m
16 m
1)) What is the length of the hypotenuse?
C =
meters

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 27-05-2020

Answer:

  20 m

Step-by-step explanation:

Assuming the given dimensions are the leg lengths of a right triangle, the hypotenuse is given by the Pythagorean theorem:

  c² = a² + b²

  c² = (12 m)² +(16 m)² = (144 m²) +(256 m²) = 400 m²

  c = √(400 m²) = 20 m

The length of the hypotenuse is 20 m.

_____

You can recognize that the side length have the ratio 3:4, so are part of a 3:4:5 right triangle with a scale factor of 4 m. They hypotenuse is 5×4 m = 20 m.

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