Answer:
Here is your answer :
For option ( a )
We know that the longest side of any triangle is its hypotenuse.
So, hypotenuse = 15
Other sides = 9, 12
By Pythagoras Theroem ,
Hypotenuse^2 = Sum of Square of other sides
( 15 )^2 = ( 9 )^2 + ( 12 )^2
225 = 81 + 144
225 = 225
Hence,it can be sides of a right angled triangle.
For option ( b ),
We know that the hypotenuse of a right angled triangle is its longest side.
So, Hypotenuse = √38 = 6√2
Other sides = 2 , 6
By Pythagoras Theroem ,
Hypotenuse^2 = Sum of squares of other sides
( 6√2 )^2 = ( 6 )^2 + ( 2 )^2
72 = 36 + 4
72 ≠ 40
So, it can't be sides of a right angled triangle.
For option ( c )
We know the longest side of any right angled triangle is its hypotenuse.
So, Hypotenuse = √91
Other sides = 3 , 9
By Pythagoras Theroem ,
Hypotenuse^2 = Sum of squares of other sides
( √91 )^2 = ( 3 )^2 + ( 9 )^2
91 = 27 +81
91 ≠ 108
So, it can't be sides of a right angled triangle.
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The final answer is option ( a ).
Step-by-step explanation:
