a piece of land is in the shape of rhombus ABCD in which each side measures 100 m and diagonal measures 160m.Find the area of field
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Step-by-step explanation:
Rhombus has 4 sides equal. Diagonal of 160cm divides the rhombus into two congruent triangles .
Area of triangle with sides a,b,c is where S= s=(160+100+100)/2=180)
=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√
=180(180−160)(180−100)(180−100)−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√
=4800 cm2
∴ area of rhombus=2×(area of triangle) =2(4800) =9600 cm2
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