Q138 of 158 Page 159

Check whether the following measures (in cm) can be the sides of a right-angled triangle or not.

1.5, 3.6, 3.9

Given: length of sides are 1.5,3.6,3.9


Formula Used/Theory:-


Pythagoras theorem:-


Base2 + Height2 = Hypotenuse2


Largest side is 3.9cm


Other 2 sides are 1.5cm,3.6cm


As hypotenuse is largest side


Hypotenuse2 = (3.9)2 = 15.21


Sum of square of other 2 sides of triangle


(3.6)2 + (1.5)2 = 12.96 + 2.25


= 15.21


LHS = RHS


Hence Pythagoras theorem verified


it is a right angled triangle


Result:- Triangle having sides of these lengths is right


angled triangle


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