Question

triangle ABC is write angled at c can you locate it's orthocentre without drawing any altitude if so then name it

Answer 1

As the orthocenter is the intersection of altitudes.

And as the ∆ABC is right angle Triangle and C as right angle. Side BC and side AC itself is a altitude. And the intersection of side BC and AC is point C

Therefore, Orthocenter is point C

Answer 2

Answer:

In a right triangle, the orthocenter falls on a vertex of the right triangle.

Step-by-step explanation:

Given a right angled triangle, ABC.

The orthocenter in a triangle is the point where the altitudes of all the sides interact with each other.

The altitude or height of a triangle is the length of a perpendicular line drawn connecting a side and the opposite vertex.  

Given C is the right angle in $\triangle ABC$  

At C in a right angled triangle, two sides are perpendicular with each other, let them be CA and CB.

As these sides are perpendicular sides, the altitudes of these sides let a and b, pass through the point C.

Now a perpendicular 'h' drawn from the hypotenuse pass through the opposite vertex i.e., point C.

So, the intersection of all the altitudes is the point C, which is right angle vertex.

In a right triangle, the orthocenter falls on a vertex of the right triangle.