Q:

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?

Accepted Solution

A:
Answer:The error Esteban made that the altitude can be lie outside the triangleStep-by-step 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