The length of the small leg of a 30°-60°-90° triangle is 7. what is the perimeter of the triangle?

  21 +7√3

Step-by-step explanation:

The lengths of the sides of a 30°-60°-90° triangle have the ratios ...

  1 : √3 : 2

so the perimeter in "ratio units" is

  1 + √3 + 2 = 3+√3.

Your triangle has dimensions a factor of 7 larger, so its perimeter is ...

  7·(3 +√3) = 21 +7√3 . . . . triangle perimeter

the answer is 5/14.

hope this .

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