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A quadrilateral can be drawn if all four sides and one diagonal is known. - Mathematics

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Question

A quadrilateral can be drawn if all four sides and one diagonal is known.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

  1. Let AB, BC, CD, AD (sides) and AC (diagonal) be given.
  2. Draw ΔABC using SSS construction.
  3. Now, we have to locate the 4th point D. This ‘D’ would be on the side opposite to B with reference to AC.
  4. So, with A as centre draw an arc of radius of length equal to AD.
  5. Now, with C as centre draw an arc of radius of length equal to CD.
  6. The intersection of these 2 arcs is D. Mark D and complete ABCD.
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Chapter 5: Understanding Quadrilaterals and Practical Geometry - Exercise [Page 154]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 124 | Page 154
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