gabbyjulianna99 gabbyjulianna99
  • 16-12-2017
  • Mathematics
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The hypotenuse of a 45°-45°-90° triangle measures 22^2 units. what is the length of one leg of the triangle?

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Edufirst
Edufirst Edufirst
  • 16-12-2017
45° - 45° - 90° =>  isosceles rigth triangle, the two legs have the same length.

Call a the length of the legs and h the length of the hypotenuse =>

a^2 + a^2 = h^2

=> 2a^2 = h^2

=> a^2 = h^2 / 2

=> a = h / √2 = 22 / √2 = 15.6 units

Answer: 15.6 units
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