anonymous
  • anonymous
The shorter leg of a 30°- 60°- 90° right triangle is 12.5 inches. How long are the longer leg and the hypotenuse?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
In a 30-60-90 degree right triangle, the shorter leg is half of the hypotenuse, so the hypotenuse is 25. Now, let "x" be the length of the longer leg: x^2 + 12.5^2 = 25^2 x^2 = 25^2 - 12.5^2 So, just solve for "x" by squaring both terms on the right, adding them, and then taking the square root of that sum.
anonymous
  • anonymous
x=21

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anonymous
  • anonymous
?
anonymous
  • anonymous
That's rounding a bit too much.
anonymous
  • anonymous
wait i have to solve both ?
anonymous
  • anonymous
approx. 21.65 is a better answer.
anonymous
  • anonymous
both what?
anonymous
  • anonymous
so the ansewer is 21.65
anonymous
  • anonymous
longer leg approximation
anonymous
  • anonymous
It's an irrational number, so if you want it in decimal form, it has to be approximated. The decimal points will go on forever otherwise.

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