Question

Solve each triangle ABC, in which C=90 degrees.

A=32 degrees
a=42 cm
b=54 cm
c=12 feet

Answer 1

They are so silly that gave you all 3 sides and 2 angles.

Answer 2

I can't get the answer

Answer 3

You should use the formula that says `sum of all angles in a triangle = 180º`.
In other words, lets name the UNKNOWN angle \(\normalsize\color{blue}{ ∠B }\) since it corresponds to side B.

The solve,
\(\normalsize\color{blue}{ ∠\rm{A}+∠\rm{B}+ ∠\rm{C}=180º }\)
\(\normalsize\color{blue}{32º+∠\rm{B}+ 90º =180º }\)
\(\normalsize\color{blue}{∠\rm{B}+ 122º =180º }\)
\(\normalsize\color{blue}{∠\rm{B}=?~° }\)

Answer 4

Can you finish the work ?

Answer 5

Angle B is 58 degrees

Answer 6

I don't really know if I can finish it

Answer 7

but using the trigonometric function tanB=b/a
\[B=\tan^{-1} (54/42)\]
\[B=\tan^{-1} (9/7)\]
\[B=52.12501635\]

are those given right?

Answer 8

Is that the true answer?

Answer 9

You got the correct answer.

Answer 10

tan? what for? you can use just the sum of angles in the triangle, `Hearfilia`

Answer 11

So, 58 degrees is the right answer

Answer 12

Yeah

Answer 13

what i'm saying is that the ans are not the same.
Regardless the method used if solving,the measure of angle B should be the same.
So i think there must be something omitted in the problem

Answer 14

It is said that solve each triangle ABC

Answer 15

So, I'll only use one triangle for the whole problem

Answer 16

Sorry about the questions I'm saying

Answer 17

Well, the measures of the triangle are not exact.

12² + 42² = 52² I doubt that, since it is about 45 as I can judge without a calc.

Answer 18

dear. the 42 and 54 are in cm while the 12 is on feet

Answer 19

and c is the hypotenuse.
c=12ft
so its not right to do this "12² + 42² = 52²"

Answer 20

I don't know what's really the answer

Answer 21

hearfilie, 12 can not be the hyp

Answer 22

Hypotenuse is the BIGGEST SIDE. Always !

Answer 23

the problem said "solve each triangle"
so there is more than one.
so i think the 1st triangle have the measures:
A=32, C=90, c=12ft find a,band B
2nd tringle:
a=42, b=54, C=90 find A,B and c

Answer 24

Well, this qeustion is just awkward.
Hypotenuse corresponds to angle 90º, but in this case the side that corresponds to 90º is the smallest side. This can't be

Answer 25

So, will ignore the sides to answer this question somehow, and will use the sum of angles in the triangle.

Answer 26

not really, 12ft=365.76cm

Answer 27

Ohhh....

Answer 28

One is ft the other is cm :)

Answer 29

yup

Answer 30

Good that I used sum of angles to find the correct answer, because I for sure would have made a mistake using a trigonometric function.

Answer 31

This question makes my head aches

Answer 32

i said there is more than one triangle

Answer 33

yes quite confusing... add one more thing after which you would have murdered your teacher is if they asked you to use factor label method to convert feet to cm.

Answer 34

That's what I'm trying to say awhile ago

Answer 35

So, what's the final answer?

Answer 36

sorry i am having a problem in my internet connection that's why i can't post my drawing, anyway if we will consider this "the 1st triangle have the measures:
A=32, C=90, c=12ft find a,band B
2nd tringle:
a=42, b=54, C=90 find A,B and c"

then 1st triangle
a=10.17657715 ft
b=6.35903177 ft
B=58 degrees

2nd triangle
c=68.41052551
B=52degrees 7minutes and 30.06 seconds
A=37degrees 52minutes and 29.94 seconds.

Answer 37

Thanks for the reply

Answer 38

I really appreciated it