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never [62]
3 years ago
11

Solve the triangle. A = 46° a = 33 b = 26

Mathematics
2 answers:
frozen [14]3 years ago
7 0
Using sin rule:
a/sin A =b/sin B=c/sin c
SIN A=sin 46=0.72
THEN:sin B =(0.72*26)/33=0.57
then B= 34° 
AS the sum of triangle angles=180 
then C=180-(46+34)=100°
then c =(a*sin C)/sin A
sin C=sin 100=0.98
=(33*0.98)*0.72=45
PSYCHO15rus [73]3 years ago
5 0

Answer:

B=34.5\degree

C=99.5\degree

c=45.2

Step-by-step explanation:

We use the sine rule to obtain;

\frac{\sin(B)}{b}=\frac{\sin(A)}{a}

We substitute the values to obtain;

\frac{\sin(B)}{26}=\frac{\sin(46\degree)}{33}

We multiply through by 26 to obtain;

\sin(B)=\frac{\sin(46\degree)}{33}\times 26

\sin(B)=0.5668

B=\sin^{-1}(0.5668)

B=34.5\degree

We now use the sum of angles in a triangle to obtain;

C+34.5\degree+46\degree=180\degree

C+80.5\degree=180\degree

C=180\degree-80.5\degree

C=99.5\degree

We use the sine rule again to get;

\frac{c}{\sin(99.5\degree)}=\frac{33}{\sin(46\degree)}

c=\frac{33}{\sin(46\degree)}\times \sin(99.5\degree)

c=45.2

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