Construct a parallelogram RAFT with diagonals RF = 5 cm, AT = 4.2 cm and side RT= 3.5 cm. with diagram
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Construct a parallelogram RAFT with diagonals RF = 5 cm, AT = 4.2 cm and side RT= 3.5 cm. with diagram
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With the same measures of the sides, we can create different quadrilaterals.
To construct a unique quadrilateral, we need to know another measure such as that of an angle.
So, along with the four sides, it would have been better if we knew the measure of one of the angles to get the quadrilateral we want.
This means, to construct the desired quadrilateral, we need the measurement of at least 5 elements. But in what combination?
The following combinations of elements will be required to construct a unique quadrilateral:
1. Four sides and an angle
2. Four sides and a diagonal.
3. Two diagonals and the given three sides.
4. Two adjacent sides and the given three angles.
5. Three sides and the two given included angles.
We can also construct special quadrilaterals such as square, rectangle, parallelogram, or rhombus.
Consider the following conditions to construct a quadrilateral DEFG.
The quadrilateral DEFG, should have sides DE = 3.2 cm, EF = 3 cm, FG = 2.8 cm, DG = 2.5 and diagonal DF = 4 cm.
Any problem or situation in Geometry can be represented using a relevant figure. Before we start constructing, we must first represent the given quadrilateral with a figure. This figure should be a close approximation of the required quadrilateral. In other words, it should be a rough sketch of the actual quadrilateral we will be constructing. Let us draw a rough sketch of the quadrilateral DEFG that we must construct.