Question

How to construct a rectangle when sum of two adjacent sides and one diagonal are given

Answer 1

1. Construct a quadrilateral ABCD in which AB = 4.8 cm, BC = 4.3 cm, CD = 3.6 cm, AD = 4.2 cm and diagonal AC = 6 cm. Solution:Construction of Quadrilaterals5stepSolution: First we draw a rough sketch of quadrilateral ABCD and write down its dimensions, as shown. We may divide it into two triangles, namely ∆ABC and ∆ACD. (Rough Sketch) → Steps of Construction:Steps of Construction of Quadrilaterals5SaveStep 1: Draw AB = 4.8 cm. Step 2: With A as center and radius equal to 6 cm, draw an arc. Step 3: With B as center and radius equal to 4.3 cm, draw another arc, cutting the previous arc at C. Step4: Join BC. Step 5: With A as center and radius equal to 4.2 cm, draw an arc. Step 6: With C as center and radius equal to 3.6 cm, draw another arc, cutting the previous arc at D. Step 7: Join AD and CD. Then, ABCD is the required quadrilateral.

Answer 2

Answer:

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