NukaColaClear NukaColaClear

31-01-2017
Mathematics

Answered

In a 30° - 60° - 90° triangle, the longer leg is which of the following?

\(\sqrt{x} 3\) times the length of the hypotenuse

\(\sqrt{x} 3\) times the length of the shorter leg

\(\sqrt{x} 2\) times the length of the hypotenuse

2 times the length of the shorter leg

Verified Answer :

Xander4D Xander4D

31-01-2017

In the triangle...the length of the longer side is tan 60 multiply by the shorter leg. Tan 60 = sq root 3...thus
Longer side = sq root 3 times the length of the shorter leg

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