which of the following is not a sufficient data for construction of quadrilateral ( please a answer this question faster
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8th
Maths
Practical Geometry
Construction of Quadrilaterals
To construct a quadrilatera...
MATHS
To construct a quadrilateral uniquely, it is necessary to have the knowledge of a least ___________ independent elements.
A
Four
B
Five
C
Three
D
Six
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ANSWER
If the quadrilateral is irregular i.e it is not a rhombus or a parallelogram, then we need to know the lengths of all four sides plus one diagonal (i.e. at least five parts).
Example: For a quadrilateral ABCD, if we know AB=a,BC=b,CD=c,DA=d and AC=k then we can construct the unique parallelogram subjected that
a+b>k and c+d>k.
In fact we would construct two triangles △ABC and △ADC on common base AC, apexes B and D being on either side of AC, using SSS method.