Find the length of the missing side. The triangle is not drawn to scale. x missing side 16 side 27 side right triangle

1 answer

To find the length of the missing side, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, using this theorem, we can write the equation as:

x^2 + 16^2 = 27^2

Now, let's solve for x:

x^2 + 256 = 729

Subtracting 256 from both sides:

x^2 = 473

Taking the square root of both sides:

x ≈ √473

x ≈ 21.748

Therefore, the length of the missing side (x) is approximately 21.748.
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