मराठी

Construct a Parallelogram Abcd, When: Ab = 4.4 Cm, Ad = 6.2 Cm and Ac = 4.8 Cm.

Advertisements
Advertisements

प्रश्न

Construct a parallelogram ABCD, when:
AB = 5.8 cm, diagonal AC = 8.2 cm and diagonal BD = 6.2 cm.

बेरीज
Advertisements

उत्तर


Steps:
1. Since diagonal of a parallelogram bisect each other, construct OAB such that;

OA = `1/2"AC" = 1/2` x 8.2 cm = 4.1 cm.

OB = `1/2"BD" = 1/2` x 6.2 cm = 3.1 cm.
and AB = 5.8 cm.

2. Produce AO up to C, such that OC = OA = 4.1 cm and BO up to D, such that DO = OB = 3.1 cm.
3. Join AD, DC, and CB.

ABCD is the required parallelogram.

shaalaa.com
Construction of Parallelograms
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Construction of Polygons (Using ruler and compass only) - Exercise 15 [पृष्ठ १९०]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 14 Construction of Polygons (Using ruler and compass only)
Exercise 15 | Q 10 | पृष्ठ १९०

संबंधित प्रश्‍न

Construct a parallelogram ABCD, when:
AB = 4.4 cm, AD = 6.2 cm and AC = 4.8 cm.


Draw parallelogram ABCD with the following data:
AB = 6 cm, AD = 5 cm and ∠DAB = 45o.
Let AC and DB meet in O and let E be the mid-point of BC. Join OE.
Prove that:
(i) OE // AB
(ii) OE = `1/2` AB.


Construct a parallelogram ABCD, when:
Diagonal AC = 6.4 cm, diagonals BD = 8.2 cm and angle between the diagonals = 60°.


The perpendicular distance between the pair of opposite sides of a parallelogram are 3 cm and 4 cm, and one of its angles measures 60o. Using a ruler and compasses only,
construct the parallelogram.


Construct a parallelogram ABCD, when:
Base BC = 5.6 cm, diagonal BD = 6.5 cm and altitude = 3.2 cm.


Construct a parallelogram ABCD, if :

BC = 4.5 cm, CD = 5.2 cm and ∠ADC = 75°.


Construct a parallelogram ABCD, if :

lengths of diagonals AC and BD are 6.3 cm and 7.0 cm respectively, and the angle between them is 45°.


Using ruler and compasses only, construct a parallelogram ABCD, in which : AB = 6 cm, AD = 3 cm and ∠DAB = 60°. In the same figure draw the bisector of angle DAB and let it meet DC at point P. Measure angle APB.


Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and ∠DAB = 45°. Draw the perpendicular bisector of side AD and let it meet AD at point P. Also, draw the diagonals AC and BD; and let them intersect at point O. Join O and P. Measure OP.


Construct a parallelogram PQRS in which PQ = 6.4cm, QR = 4cm and the distance between PQ and SR is 3cm.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×