Question

if two diagonals and three side
are given then

a. a quadrilateral cannot be constructed uniquely
b. quadrilateral that can be constructed
c. insufficient insufficient information​

Answer 1

Answer:

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:

b) A quadrilateral can be constructed