Find in how many points do the three medians of a triangle meet.

Write how many heights are there in a triangle.

Find in how many points do the three heights (altitudes) of a triangle meet.

Identify the triangles whose all the medians and heights (altitudes) are same.

Draw all the types of triangles classified accordingly to sides and angles and then draw $3$ medians for each of these triangles using scale and compass. From the figure drawn, try to find, if the medians always remain inside the triangle.

Measure the height of each of the triangle given below with a scale and pencil.

Draw the triangles classified accordingly to the angles. Draw the height (altitudes) using scale and compass and find if all the heights remain inside the triangle.