Inverting a second congruent trapezium alongside the first forms a parallelogram of base (a + b) and height h. Its area is (a + b)h, so one trapezium has area (1/2)(a + b)h.
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Kriti
Asked: In: Class 9 Maths
Drawing a diagonal splits the trapezium into two triangles having bases a and b, each sharing perpendicular height h. Summing their areas gives (1/2)ah + (1/2)bh = (1/2)(a + b)h.
Kriti
Asked: In: Class 9 Maths
The trapezium is split into a parallelogram of base a and a triangle of base (b – a), both sharing height h. Area = ah + (1/2)(b – a)h = (1/2)(2a + b – a)h = (1/2)(a + b)h.
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Kriti
Asked: In: Class 9 Maths
Yes, they are congruent. Same perimeter gives the same sum of sides and same area gives the same product. They share the identical quadratic equation, producing the exact same side lengths.
Kriti
Asked: In: Class 9 Maths
One complete turn equals circumference 2 x (22/7) x 28 = 176 cm = 1.76 m. For 1 km (100,000 cm), turns = 100000 / 176 = 568.18, which is approximately 568 full turns.