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25-10-2019
Mathematics

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Given: ΔABC; a= 10; b = 13, and ∠C = 70°. Find the length of side c to the nearest whole number

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calculista calculista

01-11-2019

Answer:

[tex]c=13\ units[/tex]

Step-by-step explanation:

we know that

Applying the law of cosines

[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]

we have

[tex]a=10\ units\\b=13\ units\\C=70\°[/tex]

substitute

[tex]c^2=10^2+13^2-2(10)(13)cos(70\°)[/tex]

[tex]c^2=180.07[/tex]

[tex]c=13\ units[/tex]

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