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34 votes
34 votes
Triangle ABC has a perimiter of 22cm

ab=8cm
bc=5cm
by claculation deduce whether triangle abc is a right angle triangle

User Prasanna Sundar
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1 Answer

17 votes
17 votes

Answer:

ABC is not a right angled triangle.

Explanation:

Step 1: Given the perimeter of ΔABC = 22 cm, sides AB = 8 cm and BC = 5 cm. Find the side AC.

Perimeter = AB + BC + AC

⇒ AC = 22 - (8 + 5) = 22 - 13 = 9 cm

Step 2: Find whether the triangle is right angled using Pythagoras Theorem which is Hypotenuse² = Side² + Base²

AC² = AB² + BC²

⇒ AC² = 9² = 81

⇒ AB² + BC² = 8² + 5² = 64 + 25 = 89

∴ AC² ≠ AB² + BC²

⇒ ΔABC is not a right angled triangle.

User Steaphann
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