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If the ratio of sines of angles of a triangle is 1 : 1 : √2 then the ratio of square of the greatest side to sum of the squares of other two sides is
  • a)
    3 : 4
  • b)
    2 : 1
  • c)
    1 : 1
  • d)
    1 : 2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the ratio of sines of angles of a triangle is 1 : 1 : √2 then...
The given ratio for sines would only be true for a 45 - 45 - 90 triangle.
The sides of such a triangle are in the ratio 1:1: √2.
The square of the longest side is 2 while the sum of the squares of the other two sides is also 2.
Hence, the required ratio is 1:1.
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Community Answer
If the ratio of sines of angles of a triangle is 1 : 1 : √2 then...
1, then the triangle must be an equilateral triangle.
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If the ratio of sines of angles of a triangle is 1 : 1 : √2 then the ratio of square of the greatest side to sum of the squares of other two sides isa)3 : 4b)2 : 1c)1 : 1d)1 : 2Correct answer is option 'C'. Can you explain this answer?
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