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Question
If the sides of a triangle are 6 cm, 8 cm and 10 cm, respectively, then determine whether the triangle is a right angle triangle or not.
Solution
The sides of the triangle are 6 cm, 8 cm and 10 cm.
The longest side is 10 cm.
(10)2 = 100 ….(i)
Now, the sum of the squares of the other two sides will be,
(6)2 + (8)2 = 36 + 64 = 100 ….(ii)
(10)2 = (6)2 + (8)2 ….. from (i) and (ii)
By the converse of Pythagoras theorem:
The given sides form a right angled triangle.
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