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Identify the rhombus among the given shapes and calculate the perimeter of a triangle with two sides given.
Mathematics
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5 stepsIdentify the definition of a rhombus.
A rhombus is a quadrilateral (a four-sided polygon) in which all four sides are of equal length. It is also a type of parallelogram, meaning its opposite sides are parallel.
Examine the given shapes.
- The first shape is a hexagon (six sides).
- The second shape is a circle.
- The third shape is a triangle (three sides).
- The fourth shape is a quadrilateral with opposite sides marked as parallel (indicated by the arrows). This shape is a parallelogram. Among the given options, this is the only quadrilateral, and a rhombus is a special type of parallelogram. Therefore, this shape represents a rhombus.
The shape that is a rhombus is the parallelogram (the fourth shape).
Write the formula for the perimeter of a triangle.
The perimeter () of a triangle is the sum of the lengths of its three sides ().
Substitute the given values into the formula.
The perimeter is . The lengths of two sides are and . The third side is .
Solve for .
First, add the known side lengths:
Now, subtract from both sides to find :
The length of B is .
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