To solve for the missing side length in a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
The formula is:
\[ a^2 + b^2 = c^2 \]
We assume that the given values represent the two legs (18.3 and 12.2) and the hypotenuse.
Let's denote the sides as follows:
- \( a = 18.3 \)
- \( b = 12.2 \)
- Hypotenuse \( c \)
Now, we can find the hypotenuse \( c \) by substituting the given values into the Pythagorean theorem:
\[ c^2 = a^2 + b^2 \]
\[ c^2 = (18.3)^2 + (12.2)^2 \]
\[ c^2 = 334.89 + 148.84 \]
\[ c^2 = 483.73 \]
To find \( c \), we need to take the square root of 483.73:
\[ c = \sqrt{483.73} \]
\[ c \approx 22.0 \]
Therefore, the hypotenuse \( c \) is approximately 22.0 when rounded to the nearest tenth.
Solve for the missing side length. Round to the nearest tenth.
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-18.3
18.3
12.2
1 answer
1 answer