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Mathematics

One side = 4 cm and one diagonal is 5 cm. Measure the length of other side.

Rectilinear Figures

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Answer

In rectangle ABCD,

Let side AB = 4 cm and AC = 5 cm.

Steps of construction :

  1. Draw a line segment AB = 4 cm.

  2. Draw BX ⊥ AB.

  3. With A as center and radius equal to 5 cm draw an arc cutting BX at C.

  4. Join AC and BC. Measure BC.

  5. With C and A as center and radii 4 cm and BC respectively draw arcs cutting each other at D.

  6. Join AD and CD.

One side = 4 cm and one diagonal is 5 cm. Measure the length of other side. Construction of Polygons, Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required rectangle.

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