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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Daniel [21]

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option D

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