Question

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13 mm
12 mm
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = millimeters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Here, \( c = 13 \), \( b = 12 \), solve for \( a \):
\( a^2 = c^2 - b^2 \)
\( a^2 = 13^2 - 12^2 \)

Step2: Calculate squares

\( 13^2 = 169 \), \( 12^2 = 144 \)
\( a^2 = 169 - 144 = 25 \)

Step3: Find square root

\( a = \sqrt{25} = 5 \)

Answer:

5