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### Area of Rhombus of side 257 and Geometric properties like symmetry,perimeter of rhombus,diagonals of rhombus Area of a rhombus with side 257 units and base angle 60 degrees = side x side x sine of baseAngle = 257 x 257 x 0.866 = 57198.434 square units Perimeter of a rhombus with side 257 units = 4 * side = 4 * 257 = 1028 units Length of the two Diagonals of a rhombus with side 257 units = 2 * length of side * sin(BaseAngle/2.0) and 2 * length of side *cos(BaseAngle/2.0) = 2 * 257 * sine of 30.0 degrees and 2 * 257 * cosine of 30.0 degrees = 257.0 and 445.14 units Height of the Rhombus = Area of Rhombus / (length of side) = 222.56 units The order of symmetry of a rhombus is 2 (number of times the shape co-incides with itself during a 360 degree rotation). The symmetry group is dihedral. And it is isotoxal or edge-transitive in nature, though these are concepts and details which some of you might encounter later. The number of axes of symmetry of a rhombus is 2: the two diagonals In general, there are multiple formulas to compute the area of rhombus. Depending on information available you may use either of them. Area of a rhombus = (square of side) x sine(base Angle) = product of diagonals/2 = base x height To understand more about the geometric features and properties of a rhombus, formulas related to mensuration etc. you might find it useful to read the properties of a Rhombus tutorial over here. Many of these concepts are a part of the Grade 9 and 10 Mathematics syllabus of the UK GCSE curriculum, Common Core Standards in the US, ICSE/CBSE syllabus in India. Many of these concepts are a part of the Grade 9 and 10 Mathematics syllabus of the UK GCSE curriculum, Common Core Standards in the US, ICSE/CBSE/SSC syllabus in Indian high schools. You may check out our free and printable worksheets for Common Core and GCSE. Geometric Properties of a rhombus of side 252 units. Geometric Properties of a rhombus of side 253 units. Geometric Properties of a rhombus of side 254 units. Geometric Properties of a rhombus of side 255 units. Geometric Properties of a rhombus of side 256 units. Geometric Properties of a rhombus of side 257 units. Geometric Properties of a rhombus of side 258 units. Geometric Properties of a rhombus of side 259 units. Geometric Properties of a rhombus of side 260 units. Geometric Properties of a rhombus of side 261 units. Geometric Properties of a rhombus of side 262 units.