Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.
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Diagonals of a rectangle are equal. AC = BD = 5 cm Steps of construction 1. Draw AB = 3 cm 2. Draw a ray BX such that ∠ABX = 900 3. Draw an are such that AC = 5cm 4. With B as centre, draw an arc of radius 5cm. With C as centre draw another arc of radius 3cm which intersect first arc at a point, suppose D. 5. Join CD and AD ABCD is the required rectangle. OWNL OWOL U 7.5 cm E 7.5 cm 7.5 cm L 7.5 cm C OWPL 7 cm 5 cm 5 B 6 cm E RA = 5 cm 194. Cyclic quadrilateral ∠B = ∠D = 900 (Angle in a semicircle) ∠A = ∠C = 900 ∠B + ∠D = 1800 ∠A + ∠C = 1800 opposite ∠s are supplementary. OWSL 196. No, In a ∆, sum of two sides always is greater than the third side. AB + BC > AC 197. No, ∠O + ∠R + ∠A = 1200 + 1050 + 1350 = 3600 198. Diagonals bisects at right angle OWWL Fourth angle = 3600 – (600+1100+850) = 3600 – 2550 = 1050 200. K S OPNN 5 cm 6.5 cm R 7 cm I Other side = 5 cm 201. 720 202. ∠I + ∠S = 1800 600 + ∠S = 1800 ∠S = 1200 A 6.4 cm B 3.2 3.2 PNQL 3.2 D 9.6 cm E C BEC is an equilateral triangle ∠A = 1200, ∠B = 600 Across 1. Trapezium 2. Polygon 3. Kite 4. Diagonal 5. Perpendicular 6. Opposite 7. Eight 8. Triangle 9. Regular 10. Nine Down 11. Heptagon 12. Adjacent 13. Parallelogram 14. Equal 15. Pentagon 16. Bisect 17. Rhombus