Question

12)Triangle ABC has perimeter 25 cm

AB=8.5cm BC= 6.3cm
By calculation, deduce whether triangle ABC is a right-angle

Answer 1

• Not a right triangle

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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.