Q5 of 805 Page 12

Construct an equilateral triangle each of whose altitudes measures 5.4 cm.

Steps for Construction:


1. Draw a line AB.



2. Mark any point C on it.



3. From C, draw CD perpendicular to AB.



4. From C, set off CE = 5.4 cm cutting CD at E.



5. Construct ∠ CEP = ∠ CEQ = 30° meeting AB at P and Q respectively.



Therefore, Δ PEQ is required equilateral triangle.


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