danielzodiacal danielzodiacal
  • 21-03-2020
  • Mathematics
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The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 28-03-2020

Answer:

The other legs are 9 and 9√3

Step-by-step explanation:

The longer side of a 30-60-90 degree rectangle is 18.

The other legs will be

[tex] \frac{x}{2} [/tex]

and

[tex] \frac{x}{2} \sqrt{3} [/tex]

Where x is the longest side, which is given as 18.

Therefore one leg will be:

[tex] \frac{18}{2} = 9[/tex]

and the other leg will be:

[tex] \frac{18}{2} \sqrt{3} = 9 \sqrt{3} [/tex]

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