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Question
If a triangle having sides 50 cm, 14 cm and 48 cm, then state whether given triangle is right angled triangle or not.
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Solution
The sides of the triangle are 50 cm, 14 cm and 48 cm.
The longest side of the triangle is 50 cm.
∴ (50)2 = 2500
Now, sum of the squares of the remaining sides is,
(14)2 + (48)2 = 196 + 2304 = 2500
∴ (50)2 = (14)2 + (48)2
∴ Square of the longest side is equal to the sum of the squares of the remaining two sides.
∴ The given sides will form a right angled triangle. ...[Converse of Pythagoras theorem]
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