write down all the construction steps clearly and clearly de

write down all the construction steps clearly and clearly describe your steps logically justify each of them

.2 Construct an equilateral triangle whose area is equal to that of a given square.

Solution

lets imagine that the square has corners a,b,c,d

where, a is upper left corner, b is upper right corner, c is lower right corner, d is lower left corner

lay straightedge on the side ad.

extend that side far beyond the square above a

spread the compass from a to d

now swivel it around a so that it intersect the extension just made at a new point, p

connect point p to c

triangle dpc has area equal to square