Sum
Construct a rectangle ABCD; if :
each diagonal is 6 cm and the angle between them is 45°.
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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.
Concept: Construction of a Rectangle When Its Length and Breadth Are Given.
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