Question

What are the coordinates of the orthocenter of △XYZ with vertices at X(−3, 3) , Y(1, 3) , and Z(−3, 0) ?

Answer 1

The othocenter of the triangle XYZ is (-3,3)

Explanation:

The triangle itself is a Right-angled Triangle. A right-angled triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle). Therefore, the two sides of the triangle (except hypotenuse) is already an altitudes of the both sides. Altitude of the hypotenuse is also comes from the corner X. Therefore, three altitudes are meeting at one point X(-3,3) which is an othocenter.