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The sides of a triangle are in the ratio 3:4:5. The triangle is:

  • A.Acute-angled
  • B.Right-angled
  • C.Obtuse-angled
  • D.Isosceles

Answer: B

Let the sides be 3x, 4x, and 5x. We check if they form a Pythagorean triplet.

(3x)² + (4x)² = 9x² + 16x² = 25x².

(5x)² = 25x².

Since (3x)² + (4x)² = (5x)², the sides satisfy the Pythagorean theorem. Therefore, the triangle is a right-angled triangle.

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