Question

construct a quadrilateral which is equal to triangle.

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Answer 1

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.

Answer 2

Answer:

We are to construct a triangle equal in area to this quadrilateral. The areas of all triangles of same base are same if they are placed in between two parallel sraight lines. The diagonal BD is drawn. A straight line CX parallel to BD is constructed with the help

-SᴛᴀʟᴡᴀʀᴛQᴜᴇᴇɴ~