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If the vertices of triangles are placed at (1.8,2.4),(5,0) and (0,0), then where is the orthocentre located? The answer is given as (1.8,2.4) Please explain

If the vertices of triangles are placed at (1.8,2.4),(5,0) and (0,0), then where is the orthocentre located?
The answer is given as (1.8,2.4) Please explain

Grade:12

1 Answers

Ajay Verma
askIITians Faculty 33 Points
7 years ago
Solution:
As we know the.. orthocentre is the point of intersection of altitudes of the triangle...
soo for right angle triangle.. orthocenter is the vertex itself on which right angle is made..

here the vertices are A(1.8,2.4), B (5,0) and C (0,0) we can easily see that. the triangle is a right angle triangle... (as it follows the pythagoras theorm.. and.. the multiplication of slope’s of AB and AC = -1 )

so the orthocenter of the triangle is vertexA (1.8,2.4) itself.. (because right angle is at A vertex..)


thanks and regards

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