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If we cut a square along one of its diagonals, two triangles are obtained. Area of each triangle obtained = __________.
  • a)
    (1/2)×Area of the square
  • b)
    (1/4)×Area of the square
  • c)
    Area of the square
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If we cut a square along one of its diagonals, two triangles are obtai...
The correct answer is A:
When a square is cut along one of its diagonals, it forms two congruent right-angled triangles. Each of these triangles has a base and height equal to one of the sides of the square. The area of a triangle is given by the formula:
Area of a triangle=(1/2)×base×height
In this case, the base and height of each triangle are the sides of the square. Therefore, the area of each triangle is:
Area of each triangle=(1/2)×side×side
Since the side of the square is the length of the diagonal, we can write the area of each triangle as:
Area of each triangle=(1/2)×diagonal×diagonal
So, the correct option is A: (1/2)×Area of the square.
 
 
 
 
 
 
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Most Upvoted Answer
If we cut a square along one of its diagonals, two triangles are obtai...
The area of each triangle obtained by cutting a square along one of its diagonals is equal to half the area of the square.

So, the correct answer is:

a) (1/2)
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