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### Area of Rhombus of side 178 and Geometric properties like symmetry,perimeter of rhombus,diagonals of rhombus Area of a rhombus with side 178 units and base angle 45 degrees = side x side x sine of baseAngle = 178 x 178 x 0.7071 = 22403.7564 square units Perimeter of a rhombus with side 178 units = 4 * side = 4 * 178 = 712 units Length of the two Diagonals of a rhombus with side 178 units = 2 * length of side * sin(BaseAngle/2.0) and 2 * length of side *cos(BaseAngle/2.0) = 2 * 178 * sine of 22.5 degrees and 2 * 178 * cosine of 22.5 degrees = 136.24 and 328.9 units Height of the Rhombus = Area of Rhombus / (length of side) = 125.86 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 173 units. Geometric Properties of a rhombus of side 174 units. Geometric Properties of a rhombus of side 175 units. Geometric Properties of a rhombus of side 176 units. Geometric Properties of a rhombus of side 177 units. Geometric Properties of a rhombus of side 178 units. Geometric Properties of a rhombus of side 179 units. Geometric Properties of a rhombus of side 180 units. Geometric Properties of a rhombus of side 181 units. Geometric Properties of a rhombus of side 182 units. Geometric Properties of a rhombus of side 183 units.