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?

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

Step-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

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.