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Mathematics, 09.12.2020 01:00 tytybruce2

Triangle E D F is cut by line G H. Line segment G H is drawn from side E D to side F D. Lines E F and G H are parallel. The length of E G is 4, the length of G D is 11, and the length of F H is 2. Complete the work to find the length of HD.

Use the side-splitter theorem to set up a proportion.

StartFraction E G Over G D EndFraction = StartFraction F H Over H D EndFraction

Substitute in the known side lengths.

StartFraction 4 Over 11 EndFraction = StartFraction 2 Over H D EndFraction

Cross-multiply and solve for HD.

HD

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