Question

the vertices of a triangle are (0,0) , (3,0) , and (0,4) . its orthocentre is at

Answer 1

It is a right angled triangle Orthocentre lies at right vertex .Therefore ortocentre is (0,0)

Answer 2

Let the vertices be A(0,0),B(3,0),C(0,4)

AB=3,BC=5,CA=4.Therefore ABC is right angle triangle at A.

In a right angled triangle the vertex at right angle is ortho centre. There fore A(0,0)is ortho centre.