Advertisements
Advertisements
Question
Construct a rectangle ABCD; if :
each diagonal is 6 cm and the angle between them is 45°.
Advertisements
Solution
Steps :
- Draw AC = 6 cm.
- Bisect AC at O.
- At O, draw ∠XOC = 45° and produce XO to Y.
- Cut OB = OD = 3 cm (half the diagonal 6 cm)
- Join AB, CB, AD, and CD.
Thus ABCD is the required rectangle.
APPEARS IN
RELATED QUESTIONS
Using ruler and compasses only, construct a rectangle each of whose diagonals measure 6 cm and the diagonals interest at an angle of 45o.
Construct a rectangle ABCD, when:
Its sides are 6.0 cm and 7.2 cm.
Construct a rectangle ABCD, when:
One diagonal = 6.0 cm and the acute angle between the diagonals = 45o.
Construct a rectangle ABCD, when:
Area = 36 cm2 and height = 4.5 cm.
Construct a rectangle ABCD; if :
AB = 5.0 cm and diagonal AC = 6.7 cm.
Construct a rectangle ABCD, when AB = 5cm and BC = 6.2cm.
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 PQRS, when its Area = 33.8cm2 and breadth = 6.5cm
Construct the following rectangles with the given measurements and also find their area.
HAND, HA = 7 cm and AN = 4 cm
