Question

Is it possible to construct a rhombus PQRS where PQ = 4cm and PR = 9 cm 2Justify your answer .

Answer 1

$\huge \fbox \pink{❥ Answer}$

✏Construct a rhombus PQRS with PQ=6 cm and PR=9 cm and find its area

ANSWER

Given: PQ=6 cm and PR=9 cm.

To construct a rhombus

Steps for construction

Step 1 : Draw a rough diagram and mark the given measurements.

Step 2 : Draw a line segment PQ=6 cm.

Step 3 : With P and Q as centres, draw arcs of radii 9 cm and 6 cm respectively and let them cut each other at R.

Step 4 : Join

PR

and

QR

.

Step 5 : With P and R as centres draw arcs of radius 6 cm and let them cut each other at S.

Step 6 : Join

PS

and

RS

.

PQRS is constructed as required.

Step 7 : Measure the length of QS.QS=d

2

=8 cm.PR=d

1

=9 cm.

Answer 2

✏Construct a rhombus PQRS with PQ=6 cm and PR=9 cm and find its area

ANSWER

Given: PQ=6 cm and PR=9 cm.

To construct a rhombus

Steps for construction

Step 1 : Draw a rough diagram and mark the given measurements.

Step 2 : Draw a line segment PQ=6 cm.

Step 3 : With P and Q as centres, draw arcs of radii 9 cm and 6 cm respectively and let them cut each other at R.

Step 4 : Join

PR

and

QR

.

Step 5 : With P and R as centres draw arcs of radius 6 cm and let them cut each other at S.

Step 6 : Join

PS

and

RS

.

PQRS is constructed as required.

Step 7 : Measure the length of QS.QS=d

2

=8 cm.PR=d

1

=9 cm.