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What do we require to construct a quadrilateral if lengths of three sides are given?
  • a)
    Length of two diagonals
  • b)
    Length of a diagonal
  • c)
    One of the angle
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Ref: https://edurev.in/question/494983/What-do-we-require-to-construct-a-quadrilateral-if-lengths-of-three-sides-are-given-a-Length-of-two-

Construction of quadrilaterals when three sides and two diagonals are given:

Example: 
 Construct a quadrilateral ABCD in which AB = 4 cm BC = 3.8 cm, AD = 3 cm, diagonal AC = 5 cm and diagonal BD = 4.6 cm. 

Solution: 

First we draw a rough sketch of quadrilateral ABCD and write down its dimensions, as shown. 

We may divide it into two triangles, namely ∆ABC and ∆ABD.
Solution of Quadrilateral - Class 8

Steps of Construction:

Steps of Construction of Quadrilaterals

Step 1: Draw AB = 4 cm. 

Step 2: With A as center and radius equal to 5 cm, draw an arc. 

Step 3: With B as center and radius equal to 3.8 cm, draw another arc, cutting the previous arc at C. 

Step 4: Join BC. 

Step 5: With A as center and radius equal to 3 cm, draw an arc. 

Step 6: With B as center and radius equal to 4.6 cm draw another arc, cutting the previous arc at D. 

Step 7: Join AD and CD.
Solution of Quadrilateral - Class 8

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