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Find Q. round your final answer to the nearest tenth

Find Q. round your final answer to the nearest tenth-example-1
User Mariangela
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1 Answer

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Step-by-step explanation:

To find Q, we use the SSS (side-side-side) theorem.

The law of cosine formula:

a^2 = b^2 + c^2 - 2bcCosA

using the letters in the diagram and since we looking for Q, it becomes:

q^2 = p^2 + r^2 -2prCosQ

Making Cos Q, the subject of formula:

q² - p² - r² = -2prCosQ

(q² - p² - r²)/-2pr = -2prCosQ/-2pr

(q² - p² - r²)/-2pr = CosQ

Cos Q = -(q² - p² - r²)/2pr

q =

User Glogo
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