Describe the method of construction of a square of the equal area of an equilateral triangle.
WBBSE
Class X
Mathematics
Determination of Mean Proportional
05 Mark
2023
Construction Procedure:
(i) I drew a triangle ABC, of which AB, BC, and CA are 7 cm, 6 cm, and 3 cm, respectively.
(ii) I drew a rectangle EFCG whose area is equal to the area of triangle ABC.
(iii) Now from the extended EG, I cut off GK, which is equal to GC.
(iv) Now I drew a semicircle by taking the line segment EK as the diameter.
(v) I extended CG, which intersects the semicircle at the point.
(vi) I drew a squared figure HGJI by taking the side GH.
HGJI is the required square whose area is equal to the area of triangle ABC.
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