For a triangle with vertices A(0, 0), B(5, 0), and C(0, 10), where is its Orthocenter located?
Show answer & explanation
Correct answer: A
Explanation
Given:
A(0,0), B(5,0), C(0,10)
According to the formula:
In a right-angled triangle, the orthocentre lies at the vertex containing the right angle.
AB ⟂ AC ⇒ The right angle is at vertex A.
⇒ Orthocentre = A = (0,0)