Question

Construct a quadrilateral PQRS , when PQ = RS = 3 cm , SP =7.5 cm , QS = 4 cm and PR = 8 cm ​

Answer 1

Answer:

Step-by-step explanation:

Given :

Quadrilateral PQRS with PQ = 3 cm RS = 3 cm PS = 7.5 cm and SQ = 4 cm

We know from triangle inequality theorem that sum of any two sides is greater than the third side ,

But here we have PQ = 3 cm PS = 7.5 cm SQ = 4 cm ( AS we get PQS triangle in quadrilateral PQRS where PQ and PS are sides and SQ is diagonal of quadrilateral . )

And

PQ + SQ = 3 + 4 = 7

and

PS = 7.5 , So

PQ + SQ > PS , But that equation is not true for any type of triangle .

Therefore,

We can say that from given information we can't construct quadrilateral PQRS

Answer 2

Answer:

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