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Find the exact value of the length of the hypotenuse.

Find the exact value of the length of the hypotenuse.-example-1

2 Answers

12 votes

Answer:


\boxed{\text{ \Large 6√(3) $ }}

Explanation:

Use sine rule


\large \text{$ \sf sin(\theta)=(opposite \ side)/(hypotenuse \ side) $}


\large \text{$ \sf sin(30)=(3√(3))/(hyp) $}

Solve for hypotenuse


\large \text{$ \sf hyp=(3√(3))/(sin(30) ) = (3√(3) )/(0.5)=6√(3) $}

User Naderman
by
8.6k points
4 votes

Answer:

10.39230485

Explanation:

Hey There!

To solve for the hypotenuse we are going to use the 30-60-90 triangle rule

we are given x
3√(3)

to find the hypotenuse we multiply x by 2


2(3√(3)) =6√(3)

the exact value of
6√(3) is 10.39230485

so 10.39230485 is your answer

Find the exact value of the length of the hypotenuse.-example-1
User Waxical
by
8.8k points

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