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wlad13 [49]
3 years ago
14

The length of the hypotenuse of 30-60-90 triangle is 5. find the perimeter

Mathematics
1 answer:
baherus [9]3 years ago
4 0

Answer:

7.5+2.5\sqrt{3}

Step-by-step explanation:

The ratio of sides in a 30-60-90 triangle is 1:2:\sqrt{3}. Since the hypotenuse is the longest side, the shortest leg is 5/2=2.5. The leg that would usually be \sqrt{3} is now 2.5\sqrt{3}\approx 4.33. Adding all of these together, you get 7.5+2.5\sqrt{3}\approx 11.83. Hope this helps!

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