apply the Pythagorem theorem to this answer
a2 + b2 = c2
a2 + 10^2 = 18^2
Applying the Pythagorean theorem to the given answer:
a^2 + b^2 = c^2
a^2 + 10^2 = 18^2
Simplifying the equation:
a^2 + 100 = 324
Subtracting 100 from both sides:
a^2 = 224
Taking the square root of both sides:
√(a^2) = √224
Simplifying the square root:
a = √224
Therefore, the application of the Pythagorean theorem to this answer results in a = √224.
we need the square root of 224 is the last step
Apologies for skipping that step.
The square root of 224 is √224, which simplifies to 14.966.
Therefore, the final result is a = 14.966.
To apply the Pythagorean theorem, we are given the equation:
a^2 + b^2 = c^2
In this case, we are given:
a^2 + 10^2 = 18^2
We can see that the value of a is unknown but the values of b and c are known. To solve for a, we can rearrange the equation and isolate a:
a^2 = 18^2 - 10^2
a^2 = 324 - 100
a^2 = 224
To find the value of a, we need to take the square root of both sides:
a = √224
At this point, we can simplify the square root:
a ≈ 14.97
Therefore, the estimated value of a is approximately 14.97.