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Theorem 7.7 : In any triangle, the side ...

Theorem 7.7 : In any triangle, the side opposite to the larger (greater) angle is longer

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To prove that in any triangle, the side opposite to the larger angle is longer, we can follow these steps: ### Step 1: Consider Triangle ABC Let triangle ABC be given, where we know that angle C is greater than angle B (∠C > ∠B). ### Step 2: Assume the Opposite Assume for contradiction that the side opposite to angle C (which is side AB) is not longer than the side opposite to angle B (which is side AC). This means we assume that side AC is greater than or equal to side AB (AC ≥ AB). ...
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