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Subha Sree 6 years, 4 months ago
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Yogita Ingle 6 years, 4 months ago
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
(a2 – b2 ) = (a + b) (a – b)
(x + a)(x + b) = x2 + (a+ b)x + ab
Posted by Jaganathan Palanisamy 6 years, 4 months ago
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Sagita Ghasi 6 years, 4 months ago
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Gaurav Seth 6 years, 4 months ago
Consider the attached diagram,
the square formed as such is if side 2a
hence area
= area of square - 4× area of a circle quadrant
= (2a)² - 4×πa²/4 = 4a² - =
Posted by Anurag Singh 6 years, 4 months ago
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Yogita Ingle 6 years, 4 months ago
Length of a room(l) = 1 m
Breadth of a room(b) = 0.5 m
Height of a room(h) = 0.75 m
The length of the longest rod is the diagonal of the room.
So, We have to find the diagonal of the cuboid.
Diagonal of a cuboid = √ (l)² + (b)² + (h)²
Diagonal of a cuboid = √ (1)² + (0.5)² + (0.75)²
Diagonal of a cuboid = √ 1+ 0.25 + 0.5625
Diagonal of a cuboid = √ 1.8125
Diagonal of a cuboid = 1.346 m
Hence , The length of the longest rod can be put in a room is 1.346 m.
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Harleen Deo 6 years, 4 months ago
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Gaurav Seth 6 years, 4 months ago
A Quadrilateral Fairy Tale
As told by Pat Wilder
the story, every time the storyteller says the word “parallelogramville,” the students must recite the five characteristics listed above. While I have used the word parallelogramville multiple times in the writing of the story, the storyteller may use an expression such as “this city” on occasion to lessen the interruption of the flow of the story.
Now for the story………..
Once upon a time in a land far, far away, there was a country named Quadrilaterals. Every citizen in that country had 4 sides. In fact, no one could even visit the country of Quadrilaterals unless they, too, had 4 sides. Also, in that country was a village called Parallelogramville. Parallelogramville was a very special place where all the citizens had five things in common. And I think you know what those are.
In the first scene of our story, we meet Ricky Rectangle. Ricky is in the city park and he is walking back and forth, wringing his hands, and muttering to himself. You see, Ricky Rectangle has a problem. He is very concerned about his looks. He thinks that his four right angles are so ugly. Mind you, no one else in Parallelogramville thought this. But poor Ricky just felt so alone and unwanted.
Ricky also had a secret…something he had never told anyone. You see, he was secretly in love with someone. But he just knew with his four right angles, she would never have anything to do with him. That’s why he is so sad. He thinks about her all the time. He can’t eat or sleep. He is just miserable. Her name is Rachel Rhombus and with her four congruent sides, Ricky thinks she has the best figure in all of Parallelogramville. Rachel is also very popular and Ricky just knows she wouldn’t have anything to do with him because of his four right angles.
Well, back to Ricky in the city park. He finally sits down on a park bench and just holds his head in his hands. He is just so sad. A few minutes later, he realizes that someone has sat on the other end of the park bench. He doesn’t bother to look and see who it is because he knows that whoever is there wouldn’t be interested in talking to him. He gives a big sigh.
Suddenly he hears a voice say, “Ricky, Ricky Rectangle, is that you?” Ricky looks up and suddenly his heart nearly stops. He feels himself going pale and thinks he might faint. The voice that spoke to him is none other than Rachel Rhombus! It suddenly dawns on him that she knows his name…Rachel Rhombus with her four congruent sides has spoken to Ricky Rectangle with his four right angles!
Posted by Rishi Raj 6 years, 4 months ago
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