Question

which of the following is not a sufficient data for construction of quadrilateral ( please a answer this question faster​

Answer 1

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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.