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Page 1 20. Area of Trapezium and a Polygon EXERCISE 20 (A) Question 1. Find the area of a triangle, whose sides are : (i) 10 cm, 24 cm and 26 cm (ii) 18 mm, 24 mm and 30 mm (iii) 21 m, 28 m and 35 m Solution: (i) Sides of ? are a = 10 cm b = 24 cm c = 26 cm (ii) Sides of ? are a = 18 mm b = 24 mm c = 30 mm Page 2 20. Area of Trapezium and a Polygon EXERCISE 20 (A) Question 1. Find the area of a triangle, whose sides are : (i) 10 cm, 24 cm and 26 cm (ii) 18 mm, 24 mm and 30 mm (iii) 21 m, 28 m and 35 m Solution: (i) Sides of ? are a = 10 cm b = 24 cm c = 26 cm (ii) Sides of ? are a = 18 mm b = 24 mm c = 30 mm (iii) Sides of ? are a = 21 m b = 28 m c = 35 m Page 3 20. Area of Trapezium and a Polygon EXERCISE 20 (A) Question 1. Find the area of a triangle, whose sides are : (i) 10 cm, 24 cm and 26 cm (ii) 18 mm, 24 mm and 30 mm (iii) 21 m, 28 m and 35 m Solution: (i) Sides of ? are a = 10 cm b = 24 cm c = 26 cm (ii) Sides of ? are a = 18 mm b = 24 mm c = 30 mm (iii) Sides of ? are a = 21 m b = 28 m c = 35 m Question 2. Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm ; find : (i) area of the triangle (ii) height of the triangle corresponding to 8 cm side. Solution: Question 3. The sides of a triangle are 16 cm, 12 cm and 20 cm. Find : (i) area of the triangle ; (ii) height of the triangle, corresponding to the largest side ; (iii) height of the triangle, corresponding to the smallest side. Solution: Sides of ? are a = 20 cm b = 12 cm Page 4 20. Area of Trapezium and a Polygon EXERCISE 20 (A) Question 1. Find the area of a triangle, whose sides are : (i) 10 cm, 24 cm and 26 cm (ii) 18 mm, 24 mm and 30 mm (iii) 21 m, 28 m and 35 m Solution: (i) Sides of ? are a = 10 cm b = 24 cm c = 26 cm (ii) Sides of ? are a = 18 mm b = 24 mm c = 30 mm (iii) Sides of ? are a = 21 m b = 28 m c = 35 m Question 2. Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm ; find : (i) area of the triangle (ii) height of the triangle corresponding to 8 cm side. Solution: Question 3. The sides of a triangle are 16 cm, 12 cm and 20 cm. Find : (i) area of the triangle ; (ii) height of the triangle, corresponding to the largest side ; (iii) height of the triangle, corresponding to the smallest side. Solution: Sides of ? are a = 20 cm b = 12 cm c = 16 cm Question 4. Two sides of a triangle are 6.4 m and 4.8 m. If height of the triangle corresponding to 4.8 m side is 6 m; find : (i) area of the triangle ; (ii) height of the triangle corresponding to 6.4 m side. Page 5 20. Area of Trapezium and a Polygon EXERCISE 20 (A) Question 1. Find the area of a triangle, whose sides are : (i) 10 cm, 24 cm and 26 cm (ii) 18 mm, 24 mm and 30 mm (iii) 21 m, 28 m and 35 m Solution: (i) Sides of ? are a = 10 cm b = 24 cm c = 26 cm (ii) Sides of ? are a = 18 mm b = 24 mm c = 30 mm (iii) Sides of ? are a = 21 m b = 28 m c = 35 m Question 2. Two sides of a triangle are 6 cm and 8 cm. If height of the triangle corresponding to 6 cm side is 4 cm ; find : (i) area of the triangle (ii) height of the triangle corresponding to 8 cm side. Solution: Question 3. The sides of a triangle are 16 cm, 12 cm and 20 cm. Find : (i) area of the triangle ; (ii) height of the triangle, corresponding to the largest side ; (iii) height of the triangle, corresponding to the smallest side. Solution: Sides of ? are a = 20 cm b = 12 cm c = 16 cm Question 4. Two sides of a triangle are 6.4 m and 4.8 m. If height of the triangle corresponding to 4.8 m side is 6 m; find : (i) area of the triangle ; (ii) height of the triangle corresponding to 6.4 m side. Solution: = 9/2 = 4.5 m Hence (i) 14.4 m 2 (ii) 4.5 m Question 5. The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m 2 ; find its base and height. Solution: Let base of ? = 4x m and height of ? = 5x mRead More
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Oct 06, 2025
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