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| math:non_right_trig [2021/03/07 23:27] – ↷ Page moved and renamed from math_non_right_trig to math:non_right_trig epix | math:non_right_trig [2021/03/08 00:31] (current) – [Heron's Area Formula] added epix | ||
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| Below are a few laws that help with finding sides and angles for non right triangles. We will use the standard triangle $\Delta ABC$ with sides $a$, $b$, and $c$ being opposite of their respective angles. | Below are a few laws that help with finding sides and angles for non right triangles. We will use the standard triangle $\Delta ABC$ with sides $a$, $b$, and $c$ being opposite of their respective angles. | ||
| - | {{:: | + | {{math: |
| ===== Law of Sines ===== | ===== Law of Sines ===== | ||
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| * $\text{area} = \frac{1}{2}bc\sin A$ | * $\text{area} = \frac{1}{2}bc\sin A$ | ||
| The variables can be swapped around just like in Law of Cosine, but the triangle **NEEDS** to be an ASA((angle side angle)) triangle for this to work. | The variables can be swapped around just like in Law of Cosine, but the triangle **NEEDS** to be an ASA((angle side angle)) triangle for this to work. | ||
| + | ==== Heron' | ||
| + | The Law of Cosines can be used to establish the following formula for the area of a triangle. You can use it for any SSS((side side side)) triangle. | ||
| + | * $\text{area} = \sqrt{s(s-a)(s-b)(s-c)}$ where $s = \frac{a + b + c}{2}$ | ||
