Question

A student attempted to draw a quadrilateral PLAY where PL is 3 cm ,LA is 4cm ,AY is 4.5cm ,PY is 2cm and LY is 6cm,but could not drw it explain with a rough sketch

Answer 1

Answer:

this construction is not Possible

as  Sum of  two sides < third Side

Step-by-step explanation:

A student attempted to draw a quadrilateral PLAY where PL is 3 cm ,LA is 4cm , AY is 4.5cm ,PY is 2cm and LY is 6cm,but could not drw it

if we See Triangle

PLY

PL = 3 cm

PY = 2cm

LY = 6 cm

we can see that

6 > 3 + 2

LY > PL + PY

( A triangle can exist only if Sum of Any two sides > third Side)

So this construction is not Possible

Answer 2

No we cannot

Step-by-step explanation:

Because take triangle PLY ,

(The sum of two sides must be greater than 3rd side and difference must be lessthan third side)

3cm+6cm=9cm>2cm(PY side)

6cm-3cm=3cm>2cm(greater than third side)

So we cannot construct quadrilateral PLAY