Q. 1384.7( 3 Votes )
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
⇒ 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
LHS = RHS
Hence Pythagoras theorem verified
∴ it is a right angled triangle
Result:- Triangle having sides of these lengths is right
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