A Proof of the Arithmetic Mean Geometric Mean Inequality

Have you ever wondered what is the relationship between the arithmetic mean and the geometric mean of two numbers? Or you have probably heard some theorems about their relationship. In this post, we are going to see that their relationship is really very easy to imagine if represented geometrically. The arithmetic mean of two numbers […]
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The Proof of the Right Triangle Altitude Theorem

The geometric mean of two positive integers and is . In this post, we are going to show the relationship between geometric mean and the relationships among the sides and altitude of a right triangle. The Right Triangle Altitude Theorem In a right triangle, the altitude to the hypotenuse is the geometric mean of the […]
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