Construct a Rectangle Abcd, When: One Diagonal = 6.0 Cm and the Acute Angle Between the Diagonals = 45o. - Mathematics

Construct a rectangle ABCD, when:
One diagonal = 6.0 cm and the acute angle between the diagonals = 45^o.

Sum

Steps:
1. Draw AC = 6cm.
2. Draw the right triangle ACB.
3. Draw the right triangle ADB.
4. Join DC.

ABCD is the required rectangle.

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Construction of a Rectangle When Its Length and Breadth Are Given.

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Chapter 15: Construction of Polygons (Using ruler and compass only) - Exercise 15 [Page 190]

Chapter 15 Construction of Polygons (Using ruler and compass only)
Exercise 15 | Q 17 | Page 190

Construct a rectangle ABCD, when:
Its sides are 6.0 cm and 7.2 cm.

Construct a rectangle ABCD, when:
Area = 24 cm² and base = 4.8 cm².

Construct a rectangle ABCD, when:
Area = 36 cm² and height = 4.5 cm.

Construct a rectangle ABCD; if :

AB = 4.5 cm and BC = 5.5 cm.

Construct a rectangle ABCD; if :

AD = 4.8 cm and diagonal AC = 6.4 cm.

Construct a rectangle ABCD, when AD = 3.2cm and diagonal BD = 5.5cm. Measure CD.

Construct a rectangle ABCD with one diagonal AC = 5.8cm and the acute angle between the diagonals is equal to 45°.

Construct a rectangle ABCD with perimeter 18cm and AB = 6cm.

Construct a rectangle ABCCD, AB = 6cm. ∠CAB = 30°.

Construct the following rectangles with the given measurements and also find their area.

HAND, HA = 7 cm and AN = 4 cm