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3 years ago

What is m∠C ? Anyone willing to help me (:

Mathematics

1 answer:

ra1l [238]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the cosine law:

$AB^2=CB^2+CA^2-(CB)(CA)\cos(\angle C)$

We have:

$AB=6,\ CB=6.5,\ CA=7.5$

Substitute:

$6^2=6.5^2+7.5^2-2(6.5)(7.5)\cos(\angle C)$

$36=42.25+56.25-97.5\cos(\angle C)$

$36=98.5-97.5\cos(\angle C)$ <em>subtract 98.5 from both sides</em>

$-62.5=-97.5\cos(\angle C)$ <em>divide both sides by (-97.5)</em>

$\cos(\angle C)\approx0.641\to m\angle C\approx50^o$

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