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The shorter leg of a 30 degree 60 degree and 90 degree triangle js 6, what js the length of the hypotenuse ​

Respuesta :

The length of the hypotenuse for given 30-60-90 triangle is 12.

Step-by-step explanation:

30-60-90 triangle is a type of triangle which has 30°,60° and 90°.

The Basic of this 30-60-90 triangle :

  1. The shorter leg has the small lengthened side, which will be opposite to 30°.
  2. The middle leg will be the side which will be opposite to 60°.
  3. The longer leg has the long lengthened side, which is the hypotenuse side that will be opposite to  90°.

Also, these lengths have defined ratio,

Shorter leg = x, Longer leg = 2x and middle leg = [tex]x\sqrt{3}[/tex].

From the given data, the length of shorter angle is 6.

∴ The length of hypotenuse = 2×6.

The length of hypotenuse = 12.

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