Question

Is it possible to construct a quadrilateral HARD with HA=3cm, AR=4cm,RD=5.4cm,HD=5.9cm and HR=8cm?If not, give reason;if yes, construct the quadrilateral.​

Answer 1

Step-by-step explanation:

$\bf \: Given \: measures \: are : - \\ \bf\:HA=3cm,AR=4cm,\\\bf\:RD=5.4cm,HD=59cm  \: and  \: HR=8cm \\ \\ \bf Here, \: consider \: the \: triangle  \: ABC\\\\\bf  \: within \: the \: quadrilateral. \\ \\ \bf \:AB+BC=3+4=7cm \: and \: AC =8cm  \\ \\ \bf \:i.e., the \: sum \: of \: two \: sides \: of \: a \: triangle \\\\\bf\: is \: less \: than \: the \: third \: side, \: which \: is \: absurd.  \\ \\ \bf \:Hence, \: we \: cannot \: construct \: such \: a \: quadrilateral.$

Answer 2

Answer:

yes it is possible.........