Question

Construct a quadrilateral $JUMP$, when: $JU=3.5$ cm, $UM=4$ cm, $MP=5$ cm, $PJ=4.5$ cm and $PU=6.5$ cm

Answer 1

First draw a rough sketch. Now,

Steps of construction:

$1$. Draw diagonal $PU$ of length $6.5$cm.

$2$. Taking $P$ as center, with radius $4.5$cm draw an arc above $PU$ and with radius $5$ cm below $PU$.

$3$. Taking $U$ as centre, with radius $3.5$ cm draw an arc above $PU$ and with radius $4$ cm below $PU$

$4$. Let $J$ be the point where arcs intersect above $PU$ & $M$ be the point where arcs intersect below $PU$.

$5$. Join $JP,JU,MP,MU$.

$6$. $JUMP$ is the required quadrilateral.