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

Steps of Construction


1. Draw a line XY.


2. Mark any point P on it.


3. From P, draw PQ XY.



4. From P, set off PA= 5.4 cm cutting PQ at A.


5. Construct PAC= PAB =30°, meeting XY at B and C respectively.


Capture.PNG


Therefore, ΔABC is required equilateral triangle.


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