Question

what is the length of the midsegment? 9 18 6 12

Explanation:

Step1: Use the property of mid - segment in a triangle (mid - segment is parallel to the base and half its length)

The mid - segment length formula: \(x + 4=\frac{1}{2}(4x - 2)\)

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Also, use the property of similar triangles (the ratio of corresponding sides). Since the mid - segment divides the sides proportionally, \(4y=6(y - 1)\)

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Step2: Calculate the mid - segment length

Substitute \(x = 5\) into \(x + 4\), we get \(x+4=5 + 4=9\)

Answer:

9