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Math Geometry Sine, Cosine and Tangent Sine and Cosine theorem Exercises: Sine and Cosine theorem

Exercises: Sine and Cosine theorem

For this task you need the following basic knowledge: Cosine theorem

Given: $a = 4 cm$ $b = 6 cm$ $γ = 67^{\circ}$

Required: $c = ?$

Use the cosine theorem.

$c^{2}$	$=$	$a^{2} + b^{2} - 2 a b \cdot \cos (γ)$
	↓	Plug in the given values.
$c^{2}$	$=$	$4^{2} + 6^{2} - 2 \cdot 4 \cdot 6 \cdot \cos (67^{\circ})$
	↓	Add up the right-hand side.
$c^{2}$	$\approx$	$33.24$	$\sqrt{}$
$c$	$=$	$5.77$

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