If 15 triangles need to be drawn in the given triangle, then what is the minimum number of
lines that need to be drawn to do so?
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Given :- If 15 triangles need to be drawn in the given triangle, then what is the minimum number of lines that need to be drawn to do so ? (Refer to image.)
Answer :-
from second image we can see that, if we draw 4 lines AD, AE, AF and AG in ∆ABC we gets total 15 triangles inside .
→ 15 triangles will be = ABD, ADE, ABE, AEF, ADF, ABF, AFG, AEG, ADG, ABG, ACG, ACF, ACE, ACD and ABC .
therefore, we can conclude that, we need minimum 4 lines to draw 15 triangles inside in the triangle .
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