Question

I need help about to fail

Triangle RST has vertices R (3,0), S (7,5) and 7,0) what are the coordinates of the orthocenter of triangle RST?

Answer 1

The coordinates of the orthocenter of the triangle RST is (7,0).

Explanation:

" Orthocenter is the point of intersection of the altitudes. Each leg in a right triangle forms an altitude.So, in a right-angled triangle, the orthocenter lies at the vertex containing the right angle ".

We could see the above definition from a figure attached to the answer.

Also in the given triangle ΔRST the Vertex containing the right angle is (7,0).

Hence, the coordinates of the orthocenter of ΔRST is (7,0).