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An equilateral has a perimeter of 66. What is the length of its altitude?

 Jan 10, 2015

Best Answer 

 #1
avatar+33616 
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Do you mean an equilateral triangle?  If so, the altitude is a factor of (√3)/2 times the size of one side.  If the perimeter is 66, one side is 22, so the altitude is:

$${\frac{{\mathtt{22}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}}{{\mathtt{2}}}} = {\mathtt{19.052\: \!558\: \!883\: \!257\: \!650\: \!2}}$$

.

 Jan 10, 2015
 #1
avatar+33616 
+5
Best Answer

Do you mean an equilateral triangle?  If so, the altitude is a factor of (√3)/2 times the size of one side.  If the perimeter is 66, one side is 22, so the altitude is:

$${\frac{{\mathtt{22}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}}{{\mathtt{2}}}} = {\mathtt{19.052\: \!558\: \!883\: \!257\: \!650\: \!2}}$$

.

Alan Jan 10, 2015

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