Question

Draw two triangles ABC and DEF and then draw altitude of first triangle from vertex A and

median of second triangle from vertex F.​

Answer 1

Answer:most cases the altitude of the triangle is inside the triangle, like this:

Angles B, C are both acute

However, if one of the angles opposite the chosen vertex is obtuse, then it will lie outside the triangle, as below. The angle ACB is opposite the chosen vertex A, and is obtuse (greater than 90°).

Angle C is obtuse

The altitude meets the extended base BC of the triangle at right angles. This case is demonstrated on the companion page Altitude of an triangle (outside case), and is the reason the first step of the construction is to extend the base line, just in case this happens.

Explanation: