Question

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find the missing side length. assume that all intersecting sides meet at right angles. include the correct unit in your answer.

Explanation:

Step1: Analyze horizontal sides

The total horizontal length is 14 cm, and one horizontal segment is 6 cm. Let the missing horizontal length be \( x \). So, \( 6 + x = 14 \)? Wait, no, actually, looking at the vertical sides, the total height is 9 cm, with a segment of 5 cm and 4 cm. Wait, no, for the horizontal missing side: the top horizontal is 6 cm, and the bottom total is 14 cm. So the missing horizontal length is \( 14 - 6 = 8 \) cm? Wait, let's check vertical. The left side is 9 cm. The right side has 5 cm and 4 cm? Wait, 5 + 4 = 9, which matches. So for horizontal: the top part is 6 cm, and the bottom part (the missing one) plus 6 cm should equal 14 cm. So \( 6 +? = 14 \), so \(? = 14 - 6 = 8 \) cm.

Step2: Verify

Check the horizontal lengths: 6 cm (left top) + 8 cm (missing) = 14 cm (bottom total). Vertical lengths: 5 cm + 4 cm = 9 cm (left side), which matches. So the missing side is 8 cm.

Answer:

8 cm