shaleiah
  • shaleiah
Medal and Fan if you help me solve it.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
welshfella
  • welshfella
|dw:1449767780186:dw|
welshfella
  • welshfella
that is the ratio of lengths of the sides of a 30-60-90 triangle so put the hypotenuse 2x = 15 and the perometer will be 15 + 7.5 + sqrt3 * 7.5
welshfella
  • welshfella
simplify that and you'll get one of the answer choices

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shaleiah
  • shaleiah
Sorry openstudy crashed.
myininaya
  • myininaya
if you want to know why @welshfella 's triangle is so... you can look at an equilateral triangle with side measurement 15 |dw:1449768315048:dw| then cut an half |dw:1449768339801:dw| and the you find that one side using pythagorean theorem |dw:1449768392140:dw| then add up all sides to find perimeter ---
shaleiah
  • shaleiah
I got 21.21
myininaya
  • myininaya
you might want to leave in exact form since your answer choices are exact form
myininaya
  • myininaya
but I guess you can approximate all of your answer choices if you want instead
myininaya
  • myininaya
just seems like more work
shaleiah
  • shaleiah
I'm sure my instructor will want me to leave it in radical form.
myininaya
  • myininaya
have you found the value for h yet?
myininaya
  • myininaya
also 21.21 doesn't seem to be a good approximation
welshfella
  • welshfella
15 + 7.5 + sqrt3 * 7.5 = 22.5 + 7.5 sqrt3 note that 22.5 = 45/2 and 7.5 = 15/2
shaleiah
  • shaleiah
45 would be the H value..
myininaya
  • myininaya
no
myininaya
  • myininaya
\[h^2+(\frac{15}{2})^2=15^2 \\ h^2=15^2-(\frac{15}{2})^2 \\ h^2=15^2-\frac{15^2}{2^2} \\ h^2=15^2(1-\frac{1}{2^2}) \\ h=\sqrt{15^2(1-\frac{1}{4})} \\ h=\sqrt{15^2} \sqrt{1-\frac{1}{4}}=?\]
shaleiah
  • shaleiah
h=12.990
shaleiah
  • shaleiah
@welshfella @myininaya
welshfella
  • welshfella
its worth rmembering this special triangle then all you have to do is to plug in the value of any side to work out the values on one of the others or the perimeter
welshfella
  • welshfella
22 . 5 + 7.5 sqrt3 = 45 15 -- + -- sqrt 3 2 2
welshfella
  • welshfella
which is option B
shaleiah
  • shaleiah
Alright, I'll have to practice this.

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