The arithmetic mean (a) of two numbers (a and b) is given by the formula a=a b2, and their geometric mean (g) is given by g=ab−−√. their harmonic mean (h) is given by the formula g=ah−−−√. which formula correctly gives h in terms of a and b?

Step-by-step explanation:

As per the given statement:

The arithmetic mean (A) of two numbers (a and b) is given by the formula:

                         .....[1]

and

their geometric mean (G) is given by :

                            .....[2]

Their harmonic mean (H) is given by the formula:

Squaring both sides we get;

Substitute the given values we have;

⇒

Multiply by 2 both sides we have;

Divide both sides by a+b we have;

or

Therefore, the formula correctly gives H in terms of a and b is,

a² + b²= c²

24² + 7² = c²

c= 25