To find the length of the missing leg, we need more context regarding the shape of the triangle or the values provided. However, it looks like you might be referring to a right triangle where:
- One leg is 72 cm.
- The other leg is 'a' cm.
- The hypotenuse is 97 cm.
If that's the case, we can use the Pythagorean theorem, which states:
\[ a^2 + b^2 = c^2 \]
where:
- \(c\) is the hypotenuse,
- \(a\) and \(b\) are the two legs.
In this scenario:
- \(c = 97\) cm (hypotenuse)
- \(b = 72\) cm (one leg)
- \(a = ?\) (the missing leg)
Now we can rearrange the formula to solve for \(a\): \[ a^2 + 72^2 = 97^2 \]
Calculating the squares: \[ a^2 + 5184 = 9409 \]
Now, subtract 5184 from both sides: \[ a^2 = 9409 - 5184 \] \[ a^2 = 4225 \]
Now take the square root of both sides: \[ a = \sqrt{4225} = 65 \]
Thus, the length of the missing leg \(a\) is: \[ a = 65 \text{ centimeters} \]