21^2=a^2+15^2

1 answer

To solve the equation, we can start by calculating the value of the left side:

21^2 = 441

Now, let's rewrite the equation:

441 = a^2 + 15^2

Next, let's solve for a^2 by subtracting 15^2 from both sides:

441 - 15^2 = a^2
441 - 225 = a^2
216 = a^2

Finally, we can take the square root of both sides to solve for a:

√216 = √(a^2)
a ≈ ±14.6969

The possible values for a are approximately ±14.6969.