Question

What is the relationship between the sides of a right triangle?

Answer 1

Answer:

⇒$(Base)^2 + ( Perpendicular)^2 = (Hypotenuse)^2$  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“

⇒$(Base)^2 + ( Perpendicular)^2 = (Hypotenuse)^2$

Hence in ΔPQR:  $(QR)^2 + ( PQ)^2 = (PR)^2$

And the above expression is the required relationship between the sides of a right triangle.