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Sagot :

Answers:

  • a = 7
  • b = 14
  • c = 7
  • d = 7*sqrt(3)

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Explanation:

The smaller triangle on the left is a 45-45-90 triangle. In these triangles, the hypotenuse is sqrt(2) times that of the leg length.

The hypotenuse shown is 7*sqrt(2), so that must mean each leg is 7 units long. Therefore, a = c = 7.

The triangle on the right is a 30-60-90 triangle. The shorter leg (opposite the smallest angle of 30 degrees) doubles to get the hypotenuse. So we can say b = 2a = 2*7 = 14. The longer leg is exactly sqrt(3) times that of the shorter leg. The longer leg is d = a*sqrt(3) = 7*sqrt(3)

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