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Find AB if BC is 20 and AD is 24

Find AB If BC Is 20 And AD Is 24 class=

Sagot :

BC = 20

If < B = 67

Then

Th using the sine rule

[tex]\frac{\sin\text{ 67}}{AB}=\frac{\sin 46}{20}[/tex]

cross -multiply

[tex]AB\text{ sin 46=20sin67}[/tex]

Divide both-side of the equation by sin46

[tex]AB\text{ =}\frac{20\sin 67}{\sin 46}[/tex][tex]AB\approx25.59[/tex]