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Consider the statement: 'The three altitudes of any triangle are always concurrent (meet at one point).'
Is this statement true?

Class 7Medians and AltitudesTriangles
  • ATrue - they always meet at one point (the orthocentre)
  • BFalse - they never meet
  • CTrue only for equilateral triangles
  • DTrue only for acute triangles

Step-by-Step Solution

The three altitudes (or their extensions) of any triangle are always concurrent at the orthocentre.
Answer: A) True - they always meet at one point (the orthocentre)

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