All the altitudes of an obtuse triangle lie inside the triangle

Altitudes of a triangle always lie in its exterior.

Let O be the origin. If A(1,0) and B(0,1) and P(x , y) are points such that x y >0 and x+y P lies either inside the triangle O A B or in the third quadrant. P cannot lie inside the triangle O A B P lies inside the triangle O A B P lies in the first quadrant only

The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle. Classify the triangle in two different ways.

By giving a counter example, show that the following statement is not true:- p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.

Try to draw rough sketches of an obtuse angled isosceles triangle.

How many altitudes can a triangle have?