you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse

Mathematics

1 answer:

MAVERICK [17]3 years ago

3 0

Answer:

4sqrt(3) = 6.928

Step-by-step explanation:

Ratio of the lengths of the sides of a 36-60-90 triangle:

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

The short leg is sqrt(3) times shorter than the long leg.

The hypotenuse is twice the short leg.

long leg = 6

short leg = 6/sqrt(3)

hypotenuse = 12/sqrt(3)

12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)

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