Question

# Which of the following numbers can form sides of a right angled triangle?

A

10 cm , 6 cm , 8 cm

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B

2 cm , 17 cm , 9 cm

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C

4 cm , 5 cm , 9 cm

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D

13 cm , 27 cm , 15 cm

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Solution

## The correct option is A 10 cm , 6 cm , 8 cm The basic condition for any type of triangle is: (i) the sum of 2 sides of a triangle should be greater than the third side (ii) The difference of any 2 sides should be less than the third side. For a triangle to be a right angled triangle, there is an additional condition. Pythagoras theorem: In a right angled triangle, Hypotenuse2= Sum of squares of other 2 sides That is, c2=a2+b2; Also note that the hypotenuse is the largest side in a right triangle. Considering each of the given options, 102=62+82 172≠22+92 92≠52+42 272≠132+152 So, A is the correct option.

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