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1 (a) Given ? ABC , construct equilateral triangles ? BCD , ? CAE , and ?...

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Basic Math

1

(a) Given ? ABC , construct equilateral triangles ? BCD , ? CAE, and ? ABF outside of ? ABC . Prove that AD = BE=CF .

(b)Let ABCD be a convex quadrilateral. Show that the sum of thetwo diagonals of ABCD is less than the perimeter P of ABCD, butmore than the semiperimeter P 2 of ABCD.

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aHere it is given BCD CAE and ABF are equilateralWe have to prove AD BECFHence provedbGiven ABCD is    See Answer
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