Consider the non-right triangle below 19610800131.jpg Suppose that m\angle ACB=98^{\circ} and m\angle

danrussekme 2021-11-22 Answered
Consider the non-right triangle below

Suppose that mACB=98 and mBAC=42, and that y=51.4cm. What is the value of x?
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Expert Answer

Mary Darby
Answered 2021-11-23 Author has 11 answers
Step 1
Solution: in ABC we know that
A+B+C=180
Now in ABC (given)
BAC+ACB+ABC=180
42+98+ABC=180
ABC=180140
ABC=40
Using Sine angle rule
asinA=bsinB=csinc
Step 2
xsinBAC=ysinABC=ABsinACB
xsin42=51.4sin40=ABsin98
taking first turo ratio
x0.67=5.40.64
x=51.4×0.670.64
x=53.73cm
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