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Esteban made the following drawing and then stated this conjecture the altitude of atriangle always lies inside of or along the side of the triangle what error did Esteban make?

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Answer:

The error Esteban made that the altitude can be lie outside the triangle

Explanation:

* Lets explain the position of the altitude in any triangles

- The altitude of a triangle is a line drawn from a vertex to the

opposite side and perpendicular to it

- So altitude is the shortest distance from a vertex to its opposite side

- If the triangle is acute triangle, then its altitudes lie inside it

- If the triangle is obtuse triangle, the the altitudes of the sides of

the obtuse angle lie out side it and the third altitude lies inside it

- If the triangle is right triangle, then the two sides of the right angle

are altitudes of it and the third altitude lies inside it

- Look to the attached figures for more understand

∵ Esteban said the altitude of a triangle always lies inside of or

along the side of the triangle

∴ The error Esteban made that the altitude can be lie outside

the triangle

Esteban made the following drawing and then stated this conjecture the altitude of-example-1
Esteban made the following drawing and then stated this conjecture the altitude of-example-2
Esteban made the following drawing and then stated this conjecture the altitude of-example-3
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