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.
21^2=a^2+15^2
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