Coordinates of orthocentre of a triangle
Asked by maham237 @ in Mathematics viewed by 214 People
Find the coordinates of the orthocenter of triangle ABC with vertices A(0,0), B(4,0), and C(4,2)
a. (4,0)
b. (2,1) ****
c. (4,2)
d. (2,0)
Asked by maham237 @ in Mathematics viewed by 214 People
Find the coordinates of the orthocenter of triangle ABC with vertices A(0,0), B(4,0), and C(4,2)
a. (4,0)
b. (2,1) ****
c. (4,2)
d. (2,0)
Answered by maham237 @
Firstly, we need to draw graph
we can see that
this is right angled triangle
and we know that
Orthocenter is the point of intersection of the altitudes
and 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
Hence, point B will be orthocenter
so,
Orthocenter is (4,0)........Answer
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