Answer:
⇒[tex](Base)^2 + ( Perpendicular)^2 = (Hypotenuse)^2[/tex] is the required relationship.
Step-by-step explanation:
Let us assume, the given right angled triangle is ΔPQR.
Here. PQ = Perpendicular of the triangle.
QR = Base of the triangle.
PR = Hypotenuse of the triangle.
Now, PYTHAGORAS THEOREM states:
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“
⇒[tex](Base)^2 + ( Perpendicular)^2 = (Hypotenuse)^2[/tex]
Hence in ΔPQR: [tex](QR)^2 + ( PQ)^2 = (PR)^2[/tex]
And the above expression is the required relationship between the sides of a right triangle.