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Discussion

A triangle with sides 5 cm, 12 cm, and 13 cm is a:

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

Answer: C

We check if the sides satisfy the Pythagorean theorem (a² + b² = c²).

The longest side is 13 cm, so it would be the hypotenuse.

5² + 12² = 25 + 144 = 169.

13² = 169.

Since 5² + 12² = 13², the triangle is a right-angled triangle. This is a common Pythagorean triplet (5, 12, 13).

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