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ad-work [718]
3 years ago
10

How to find the long leg of 2√2 from a 30:60:90 triangle?

Mathematics
2 answers:
Komok [63]3 years ago
7 0

check the picture below.

seropon [69]3 years ago
5 0

Answer:  2\sqrt{6}

<u>Step-by-step explanation:</u>

A 30°-60°-90° triangle has the following sides: b - b\sqrt{3} - 2b

short leg (matches to 30°) so b = 2\sqrt{2}

long leg (matches to 60°) so b\sqrt{3} = (2\sqrt{2})\sqrt{3} = 2\sqrt{6}

hypotenuse (matches to 90°) so 2b = 2(2\sqrt{2}) = 4\sqrt{2}

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