tiarnangordon17 tiarnangordon17
  • 20-05-2023
  • Mathematics
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12)Triangle ABC has perimeter 25 cm
AB=8.5cm BC= 6.3cm
By calculation, deduce whether triangle ABC is a right-angle

Respuesta :

mhanifa
mhanifa mhanifa
  • 20-05-2023

Answer:

  • Not a right triangle

-------------------

Find the length of the third side:

  • AC = P - (AB + BC)
  • AC = 25 - (8.5 + 6.3)
  • AC = 10.2

AC is the longest side compared to other sides.

Use Pythagorean theorem to verify if AC is the hypotenuse:

  • AC² = AB² + BC²
  • 10.2² = 8.5² + 6.3²
  • 104.04 = 72.25 + 39.69
  • 104.04 = 111.94

This is false equality, hence ΔABC is not right-angled.

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