Using the ratio given, the length of line segment HK is calculated as: 7.5 units.
We can find any actual length if given the ratios of different line segments by dividing the ratio of the segment we are looking for by the sum of ratios, then multiplying it by the total length of the line segments that make up each of the smaller line segments.
Given the ratio, HI: IJ: JK = 3 : 4 : 3, and HK = 50 units.
Sum of ratios = 3 + 4 + 3
Sum of ratios = 10
The ratio of JK is 3. Therefore, we would have the following equation:
Length of HK = 3/10 × 25
Length of HK = 7.5 units.
Thus, using the ratio given, the length of line segment HK is calculated as: 7.5 units.
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