Let’s take an example
Can 3, 4, 5 be the side of a right angled triangle?
We know that,
Hypotenuse is the longest side.
So, Hypotenuse = 5
Checking Pythagoras Theorem
(Hypotenuse) 2 = (Base) 2 + (Height) 2
Since LHS = RHS,
Pythagoras Theorem is satisfied
Hence,
3, 4, 5 form sides of a right triangle,
with Hypotenuse = 5
Can 8, 15, 17 be the sides of a right angled triangle?
We know that,
Hypotenuse is the longest side.
So, Hypotenuse = 17
Checking Pythagoras Theorem
(Hypotenuse) 2 = (Base) 2 + (Perpendicular) 2
Since L.H.S = R.H.S
Pythagoras theorem is satisfied
Hence,
8, 15, 17 form sides of a right triangle with
Hypotenuse = 17
Base = 8
Perpendicular = 15
Can 7, 8, 10 be the sides of a right angled triangle?
We know that,
Hypotenuse is the longest side.
So, Hypotenuse = 10
Checking Pythagoras Theorem
(Hypotenuse) 2 = (Base) 2 + (Perpendicular) 2
Since L.H.S ≠ R.H.S
Hence,
7, 8, 10 do not form sides of a right triangle
Can 9, 40, 41 be the sides of a right angled triangle?
We know that,
Hypotenuse is the longest side.
So, Hypotenuse = 41
Checking Pythagoras Theorem
(Hypotenuse) 2 = (Base) 2 + (Perpendicular) 2
Since L.H.S = R.H.S
Pythagoras theorem is satisfied
Hence,
9, 40, 41 form sides of a right triangle with
Hypotenuse = 41
Base = 9
Perpendicular = 40
