calculate the perimeter of the of the triangle shown..

Question

anonymous · Answer

A. 24+8√3
B. 16+8√3
C. 16+16√3
D. 16+16√2

hoblos · Answer

the perimeter is the sum of the sides
so we need to calculate all the sides of the triangle

we know that it's a right triangle, we know an angle 30, and we know the hypotenuse 

we have to use the trigonometric formulas to find the other sides

do you know these formulas ?

anonymous · Answer

i know only that to find the perimeter you have to add them up, but this is different and i dont know which formula to use...

hoblos · Answer

in a right triangle
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$$\sin x = \frac{ opposite }{ hyp }$$
$$\cos x = \frac{ adjacent }{ hyp }$$

anonymous · Answer

where would i place the 90º? in the oppostie or adjacent?

hoblos · Answer

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anonymous · Answer

so both are set up the same... i got for sin is 0.098 and cos i got 0.99

anonymous · Answer

so how do i fill in the formula if it doesnt show that much information?

hoblos · Answer

we have sin30° = opp / hyp

thus ,   opp = hyp x sin30° = ?

anonymous · Answer

i got 8... did i do that right?

hoblos · Answer

yeah you are right!
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we need the adjacent now

cos 30° = adj/hyp

adj =?