If the length of two diagonals and three sides is given, then the constructed figure will be a _________.

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Hexagon

Triangle

Quadrilateral

Pentagon

answer is C.

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Detailed Solution

If the length of two diagonals and three sides is given, then the constructed figure will be a Quadrilateral. (A criteria to construct a quadrilateral).

For Eg:

Construction of 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.

Steps of Construction:

Step 1: Draw AB = 4 cm.

Step 2: With A as the 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.

Then, ABCD is the required quadrilateral.