Question

The length of the hypotenuse of a 30-60-90 triangle is 9. What is the perimeter?

Answer 1

the answer is supposed to be in equation form. how would I do that?

Answer 2

first find x

Answer 3

okay

Answer 4

a 30 60 90 triangle has sides in these proportions
1, sq root (3) and 2

So the sides would be 4.5, sq root (3) * 4.5 and 9
= 4.5, 7.794 and 9

perimeter = 21.294

Answer 5

x=7.794

Answer 6

how would I put it in equation form?

Answer 7

In equation form
sides of a 30 60 90 triangle are in the proportion

hyp/2 ; (hyp/2) * sq root of 3 ; hypotenuse *1
9/ 2 ; ((9/2) * 1.732) ; 9

Answer 8

the answer choices are:

A. 27/2+9/2√3
B.9/2+27/2√3
C. 9+27√3
D. 27+9√3

Answer 9

which one of them would it be?

Answer 10

i think it might be B..?

Answer 11

Okay
Perimeter = 9/ 2 + ((9/2) * sq root(3) ) + 9
Still working on those choices

Answer 12

I still think it's B...

Answer 13

It is not B

Answer 14

hmm... A?

Answer 15

since it's the only other one with 9/2

Answer 16

A calculates correctly
we KNOW perimeter = 21.294
So let's see what A equals
= 27/2 + (9/2) * sqroot (3)
= 13.5 + 7.794 = 21.294

Answer 17

OHH!! so it is A! thank you so much... this really helped!!

Answer 18

Glad to help you out