In , such that is on and is on . If , , and , what is the length of ?
Answer and explanation
Correct answer: D.
- Step 1: Apply the Basic Proportionality Theorem (Thales's Theorem): If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.
- Step 2: Therefore, . Substituting given values: .
Answer
.
Why not the others: '' assumes an incorrect ratio of 1:2; '' miscalculates ; '' adds and .
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