Cut out a paper triangle. Fix one of the sides as the base. Fold it in such a way. Class 7

Cut out a paper triangle. Fix one of the sides as the base. Fold it in such a way. Class 7

Question 1.

Cut out a paper triangle. Fix one of the sides as the base. Fold it in such a way that the resulting crease is an altitude from the top vertex to the base. Justify why the crease formed should be perpendicular to the base. Class 7

Solution:

Base is the horizontal line and the line of fold is the vertical line. Therefore, the resulting crease will be perpendicular to base and hence it will be an altitude from the top vertex.

Question 2.

Does there exist a triangle in which a side is also an altitude? Class 7

Solution:

Yes, in every right triangle.