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If a RHOMBUS od each side measuring 100cm and has one of its diagonal measuring 160 cm than find its area. |
| Answer» N:_________________________ANSWER:Area of the Rhombus = 9600cm².TO FIND:Area?GIVEN:RHOMBUS of each side MEASURING 100cm.Diagonal measuring 160 cm.SOLUTION:Let the area be xLet's use herons formula to find the area of the rhombus using the SIDES = 100,100,160Now,by applying this formula we will get the area of the triangle.FORMULA TO FIND:Herons formula = √s( s - a )( s - b )( s - c )A = 160B = 100C = 100S = 180SOLVING BY APPLYING THE FORMULA:= √180( 180 - 160 )( 180 - 100 )( 180 - 100 )= √180( 20 )( 80 )( 80 )= √180 × 20 × 80 × 80= √180 × √20 × √80 × √80= 4800cm.Now,Area of rhombus = 2 × Area of a triangleArea of rhombus = 2 × 4800cm²Area of rhombus = 9600cm²_________________________ | |