Question

Nikita has a quadrilateral ABCD .If she has been given the measures of four sides only,then can she draw the quadrilateral? Give reason.

Answer 1

No, Nikita cant draw the quadrilateral ABCD if she has been given the measures of four sides only.

• Because to construct a unique quadrilateral, it is necessary to know at least 5 of its different parts,i.e., 4 sides, 4 angles, and 2 diagonals.

Quadrilateral :

As we know, a quadrilateral is a plane figure bounded by 4 line segments in such a way that no 2 of these 4 line segments meet at a point except at their endpoints.

We can construct a unique quadrilateral when the following data are given:

1. "Four sides and one diagonal
2. Three sides and two diagonals
3. Two adjacent sides and three angles
4. Three sides and two included angles
5. Four sides and any one angle,"

• The given information should be such that the sum of any two sides of a triangle formed by the given information is "greater than the third side, and the sum of the three angles is less than 360°".

Learn more on Brainly :

To construct a quadrilateral, we need to know two adjacent side and _____ angles. ​

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Construct a parallelogram with adjacent sides of length 5.3 cm and 6.4 cm and diagonal of length 7.9 cm.

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