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In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?
9✓2 in.
9✓3in.
18✓2 in.
18✓3in.​

Respuesta :

mathstudent55

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

      1        :   sqrt(3)  :          2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

Answer:

a 30-60-90 triangle with a long leg of length of 5 and short leg of length x

A.  

B.  

C.  

D.  

E.  

Step-by-step explanation:

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