Answer :

Given, PQR is an equilateral triangle



Let PQ = QR= PR = x cm and AC = 10cm, AB = 12 cm and AD = 8cm


Area of the equilateral triangle =


area of equilateral triangle PQR =


Here,


Area of triangle PQR = area of triangle PAR


+ area of triangle RAQ


+ area of triangle PAQ


= ( area of triangle= 1/2 ×base× height)


In this case the perpendicular is height of the that particular triangle


= 4x + 6x + 5x


According to the given condition


15x =


= x


Now


Area of equilateral triangle PQR =


= cm2


= cm2


= 300√3cm2


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