Question

Assume angle C is a right angle and given the conditions b=2 and A= 30 degrees solve for the side lengths of the triangle.

Answer 1

So we know this is a 30,60,90 triangle which has special properties yes?

Answer 2

@Faith_Rochelle

Answer 3

The easiest way to do this is to just draw it out is there a picture with the question?

Answer 4

no there isn't.

Answer 5

ok, so I would draw this out which will make it much simpler

Answer 6

can you draw this triangle based on the info above?

Answer 7

i think traditionally b is the line in between 90 and 30 so it should be the line between angles A and C

Answer 8

I don't understand where to draw it at.

Answer 9

so the special rules for 30,60,90 are:
a = a
b = a√3
c= 2a

Answer 10

ok so you draw a 30,60,90 triangle the line connecting the 90 degree angle and the 30 degree angle is b, 2

Answer 11

does that make sense?

Answer 12

the bottom right angle should be 60 degrees

Answer 13

and you have to switch a and b

Answer 14

then refer to that for values of sides should be pretty straight forward happy to help though :)

Answer 15

Is this making sense to you? we know triangle is a 30 60 90 because they tell us one side is 90 one is 30, which means the other has to be 60 to add to 180 and make a triangle. So these triangles have special rules about the length of their sides and how they compare to each other I posted a picture of the above. So we kno the b value or a√3 is equal to 2

Answer 16

so we make an equation b = a√3 and plug our value in 2 = a√3 and solve for the a side. Are you following me this far?

Answer 17

No. What do we plug in for A?

Answer 18

ok you left but solve for a and then plug that into c which is c = 2a and you will have values for a,b, and c

Answer 19

we do not know a we solve it with the eq i explained above...

Answer 20

does that help?

Answer 21

I don't see an equation for a..

Answer 22

there isnt an equation for a it is the value of one side and the value of the other are based off of a

Answer 23

but we work backwords because we know b to find a, and can use that to find c

Answer 24

ok here,
b = 2
a = ?
c = ?

b = a√3 so,
2 = a√3
a = 2/√3

c = 2a so,
c = 2(2/√3)
c = 4/√3

a = 2/√3
b = 2
c = 4/√3

Answer 25

I would ask your teacher to help explain i dont know what else i can do through the web good luck faith hope you get it :)