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2. Draw an acute-angled ∆PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.

Question

  1. Draw an acute-angled ∆PQR. Draw all of its altitudes. Name the point of concurrence as ‘O’.
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Solution

Step 1: Draw a triangle PQR with an acute angle.

Step 2: An altitude of a triangle is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. So, draw the three altitudes from each vertex (P, Q, R) to their opposite sides.

Step 3: The point where all three altitudes intersect is called the orthocenter. Mark this point as 'O'.

Remember, in an acute-angled triangle like ∆PQR, the orthocenter 'O' will always be inside the triangle.

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