Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleOrthocentre, pedal triangle basedEasy2 minai-gemini

MathematicsEasysingle choice

The orthocentre of the triangle with vertices $(0, 0)$ , $(5, 0)$ , and $(0, 7)$ is:

Options:

Answer:

Solution:

The given vertices are $(0, 0)$ , $(5, 0)$ , and $(0, 7)$ . This forms a right-angled triangle because the sides along the x-axis and y-axis are perpendicular. The right angle is at the origin $(0, 0)$ . For a right-angled triangle, the orthocentre is always at the vertex where the right angle is formed. Hence, the orthocentre is $(0, 0)$ .

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Orthocentre, pedal triangle based

⏱ 2mℹ️ Source: ai-gemini

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