Finding the missing side of the right triangle. Round your answer to the nearest tenth. Click Here for Help Video.

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To find the missing side of a right triangle, you can use the Pythagorean theorem. The formula is:

\[ a^2 + b^2 = c^2 \]

where \( c \) is the hypotenuse (the longest side) and \( a \) and \( b \) are the other two sides.

In your case, if \( a = 2 \) and \( c = 13 \), you can find \( b \) using the formula:

\[ 2^2 + b^2 = 13^2 \]

Calculating this gives you:

\[ 4 + b^2 = 169 \]

Now isolate \( b^2 \):

\[ b^2 = 169 - 4 \] \[ b^2 = 165 \]

Now take the square root of both sides to find \( b \):

\[ b = \sqrt{165} \approx 12.845 \quad \text{(using a calculator)} \]

Rounding to the nearest tenth, \( b \approx 12.8 \).

So, the missing side of the triangle is approximately 12.8.