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A(2, 7), B(4, -1), C(-2, 6) AB = √ (4 + 64) = √ 68 BC = √ (36 + 49) = √ 85 AC = √ (16+1) = √ 17 We see that AB² + AC² = BC² (follows Pythagoras theorem) ⇒ The triangle is a right triangle at A(2, 7).
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. I...
A kid has toys of three different shapes and he has labelled them as 'A', 'B' and 'C'. The following is also known about the toys: (Take π = 22/7)
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A wooden box measures 20cm by 12cm by 10cm. Thickness of wood is 1 cm. volume of wood to make the box is.(in cm 3 )
The area of a rhombus is given as 384 cm², and its perimeter measures 80 cm. Determine the total length of its two diagonals.
If the angular diameter of the sun is 20, how far from the eye a coin of radius 4.95 cm be kept to hide the sun?
A cylindrical tank has a radius of 7 meters and a height of 10 meters. How many liters of water can it hold? (1 cubic meter = 1,000 liters)
A solid cube with side 'a' is made of a material weighing 400 kg. Another cube is hollow, made of the same material, with an outer side length '3a' and ...
A rectangular swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. Find the cost of tiling the walls and floor at ₹200 per square meter.
A cone is cut parallel to its base in 3 parts in such a way that the height of each part is same. Find the ratio of volume of these parts?
