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I get 9 triangle with fewer than 9 lines.

Draw a square: ABCD (4 lines)

Draw the diagonals AC, BD (2 lines) which meet at X in the centre.

On a separate part of the page, draw triangle PQR (3 lines).

That is 4 + 2 + 3 = 9 lines.

The triangles are:

ABC, BCD, CDA, DAB,

AXB, BXC, CXD, DXA,

and PQR

9 triangles with 9 lines. Could have done 13 triangles with 7 lines by drawing a line from A to BC.

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Q: How do you make 5 triangles with 9 line?
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