Valdez Gibbs
11/10/2024 · Senior High School
In problems 5-7, set up each problem and supply a proof of the statement. 5 The altitude,to a side of a scalene triangle forms two congruent angles with that side of the triangle.
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To prove: The altitude to a side of a scalene triangle forms two congruent angles with that side. Proof: Let \( \triangle ABC \) be a scalene triangle with altitude \( AD \) from vertex \( A \) to side \( BC \). Since \( AD \) is perpendicular to \( BC \), \( \angle ADB \) and \( \angle ADC \) are both 90 degrees, making them congruent.
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