ACT Math : How to find the length of the side of a rhombus
Study concepts, example questions & explanations for ACT Math
All ACT Math Resources
Example Questions
Example Question #221 : Quadrilaterals
A rhombus has two perpendicular interior diagonal lines, each with endpoints that are the vertex of opposite interior angles. The diagonals have lengths of 
This problem provides the lengths of the two perpendicular interior diagonal lines in the rhombus. To use this information to find the length of one side of the rhombus, apply the formula:
where 
The solution is:
Example Question #222 : Quadrilaterals
A rhombus has a perimeter of 
To solve this problem, apply the perimeter formula for a rhombus: 
Note that the perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have 
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
By applying the perimeter formula, the solution is:
Check:
Each side of the rhombus must equal 
Example Question #223 : Quadrilaterals
A rhombus has a perimeter of 
The perimeter formula for a rhombus is the same formula used to find the perimeter of a square. This is because both shapes, by definition, have
The primary differentiation between rhombuses and squares is that latter must have four interior right angles. Although the four interior angles of a rhombus must also equal a sum of 360 degrees, the interior angles inside of a rhombus do not need to be right angles. Instead, the adjacent interior angles of a rhombus must be supplementary angles.
To solve this problem, apply the perimeter formula for a rhombus:
By applying the perimeter formula, the solution is:
Check:
Certified Tutor
All ACT Math Resources
