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german
3 years ago
11

In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

Mathematics
2 answers:
never [62]3 years ago
5 0
<span>A. Two angles and a side
</span>In trigonometry, the law of sines<span>, </span>sine law<span>, </span>sine<span> formula, or </span>sine<span> rule is an equation relating the lengths of the sides of any shaped triangle to the </span>sines<span> of its angles.</span>
larisa86 [58]3 years ago
3 0

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC,  the law of sine is given by

\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}

From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.

Let us understand this by assuming that we need to find a (length of the side). From the formula, we have

\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}

Thus, to find the length a, we must have b, sin A and sin B.

Hence, o find the length of the side of the triangle, we must have two angles and a side.

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