I asked earlier if I know that c squared equals 49 inches, what are a squared and b squared, & people told me there are infinite answers but?

7 inches times 7 inches is 49 SQUARE INCHES. Not "inches".

If c^2 = 49 inches, a^2 + b^2 = 7^2

Only answer is 7.5^2 - 3.5^2 = 2x^2 (where x ≈ 4.9497)

You listen to the wrong people. Whatever you square NEVER equals an amount of inches.

The answers given HERE just ASSUME you are talking about a specific triangle, but you failed to specify

Assuming pythagoras' theorem we have that:

a² + b² = c²

i.e. a² + b² = 49

As a = b we have:

a² + a² = 49

i.e. 2a² = 49

=> a² = 49/2

Hence, a = √(49/2) => 7/√2 or 7√2/2

:)>

If a = b, then

a^2 + b^2 = 49

a^2 + a^2 = 49

2a^2 = 49

sqrt(2) * a = 7

a = 7 / sqrt(2)

a = 7 * sqrt(2) / 2

a = 7 * 1.414 / 2

a = 7 * 0.707

a = 4.949, roughly.

If you know a and b is to be the same length, then you can make the substitution and solve for that one unknown:

a² + b² = 49

Setting a and b to "x":

x² + x² = 49

2x² = 49

x² = 49/2

x = 7 / √2

x = (7/2)√2 inches