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प्रश्न
The sides of triangle is given below. Determine it is right triangle or not.
a = 1.6 cm, b = 3.8 cm and c = 4 cm
उत्तर
In order to prove that the given sides of a certain triangle forms a right angled triangle we have to prove that square of the larger side is equal to the sum of the squares of the other two sides.
Here, the larger side is c = 4 cm.
Hence, we have to prove that a2 + b2 = c2..
Let solve the left hand side of the above equation.
a2 + b2 = (1.6)2 + (3.8)2
= 2.56 + 14.44
= 17
Now we will solve the right hand side of the equation,
c2 = 42 = 16
Here we can observe that left hand side is not equal to the right hand side.
Therefore, the given sides of a certain triangle do not form a right angled triangle.
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