The equation you provided can be interpreted in the context of a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In your equation:
\[ 18^2 + B^2 = 30^2 \]
This can be rewritten as:
\[ 324 + B^2 = 900 \]
To find \(B^2\), we can rearrange the equation:
\[ B^2 = 900 - 324 \] \[ B^2 = 576 \] \[ B = \sqrt{576} = 24 \]
Now we have the lengths of the two legs of the triangle: one leg is 18, the other leg is 24, and the hypotenuse is 30.
Since the equation holds true, we understand that this triangle is a right triangle with:
- One leg measuring 18
- The other leg measuring 24
- The hypotenuse measuring 30
This means that the triangle adheres to the properties of a right triangle, where the two legs are perpendicular to each other, forming a right angle.
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