christinastrugg christinastrugg
  • 09-03-2018
  • Mathematics
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the long leg of a 30-60-90 triangle is 11√3. what is the length of the hypotenuse?

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tdpuppies14
tdpuppies14 tdpuppies14
  • 09-03-2018
This is perfect! 30-60-90 triangles follow a specific ratio where the hypotenuse is twice as long as the short leg, and the long leg is [tex] \sqrt{3} [/tex] times as long as the short leg. Knowing this, you can divide 11[tex] \sqrt{3} [/tex] by [tex] \sqrt{3} [/tex] to get 11 as the short leg. Multiply 11 by 2 to get the hypotenuse.

Final answer - the hypotenuse is 22
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