If the sides of a triangle are 3 cm, 4 cm, and 6 cm long, determine whether the triangle is a right-angled triangle.
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Solution
We have,
Sides of triangle
AB = 3 cm
BC = 4 cm
AC = 6 cm
∴ AB2 = 32 = 9
BC2 = 42 = 16
AC2 = 62 = 36
Since, AB2 + BC2 ≠ AC2
Then, by converse of Pythagoras theorem, triangle is not a right triangle.
Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
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