Question

Find the exact value of the length of the hypotenuse.

Answer 1

`\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) $}`

Answer 2

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