Mathematics : त्रिकोणमिति

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

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

Which of the following numbers can form sides of a right angled triangle?
A. 13 cm , 27 cm , 15 cm

B. 4 cm , 5 cm , 9 cm

C. 2 cm , 17 cm , 9 cm

D. 10 cm , 6 cm , 8 cm



Correct Answer :

D. 10 cm , 6 cm , 8 cm



Explanation

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.

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