boneyke4305 boneyke4305
  • 01-08-2018
  • Mathematics
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The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg

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nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 02-08-2018

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

[tex] \cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7 [/tex]

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