Area of a rhombus with side 10 units and base angle 45 degrees = side x side x sine of baseAngle = 10 x 10 x 0.7071 = 70.71 square units Perimeter of a rhombus with side 10 units = 4 * side = 4 * 10 = 40 units Length of the two Diagonals of a rhombus with side 10 units = 2 * length of side * sin(BaseAngle/2.0) and 2 * length of side *cos(BaseAngle/2.0) = 2 * 10 * sine of 22.5 degrees and 2 * 10 * cosine of 22.5 degrees = 7.65 and 18.48 units Height of the Rhombus = Area of Rhombus / (length of side) = 7.07 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. 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 5 units. Geometric Properties of a rhombus of side 6 units. Geometric Properties of a rhombus of side 7 units. Geometric Properties of a rhombus of side 8 units. Geometric Properties of a rhombus of side 9 units. Geometric Properties of a rhombus of side 10 units. Geometric Properties of a rhombus of side 11 units. Geometric Properties of a rhombus of side 12 units. Geometric Properties of a rhombus of side 13 units. Geometric Properties of a rhombus of side 14 units. Geometric Properties of a rhombus of side 15 units. |