To find the length of the missing leg \( b \), we need more context about the problem. It seems like you may be referring to a right triangle, where 17 mm and 15 mm could be the lengths of the two legs, and \( b \) might be the hypotenuse or the length of the missing leg.
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If \( b \) is the hypotenuse: We can use the Pythagorean theorem: \[ a^2 + b^2 = c^2 \] Here, \( a = 15 \) mm and \( c = 17 \) mm. We can find \( b \) as follows: \[ 15^2 + b^2 = 17^2 \] \[ 225 + b^2 = 289 \] \[ b^2 = 289 - 225 \] \[ b^2 = 64 \] \[ b = \sqrt{64} = 8 \text{ mm} \]
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If \( b \) is one of the legs: Assuming \( b \) is the length of the missing leg and 17 mm is the hypotenuse: \[ 15^2 + b^2 = 17^2 \] This set-up would be the same calculation as above, leading to: \[ b = 8 \text{ mm} \]
In both cases, if the problem is set up as a right triangle, the length of the missing leg \( b \) is \( 8 \) mm.
Please confirm if this is the case, or provide additional context if necessary!