Equation of Anjeli is true.
Step-by-step explanation:
Triangle ABC right angle at C such that
Considering AB = c as (Hypotenuse), AC = b as (Longer leg), BC = a as (Shorter leg)
Proof:
(a+b)² = c²+ 4(1/2) ab
In the Triangle ABC, by Pythagoras theorem, Plugin the values we will get,
Hypotenuse² = longer leg² + shorter leg²
AB² = AC²+ BC²
c² = b²+ a² ------ q
(a+ b)² can be written using the identity as,
(a+ b)²= a² + 2ab + b² ----LHS
Plugin the above identity in the eq. q we will get,
c²+ 2ab = c² + (4/2) ab --- RHS
So LHS = RHS.
Hence proved.
