In , such that is on and is on . If , , and , what is the length of ?

Answer and explanation

Correct answer: D.

  1. 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.
  2. Step 2: Therefore, . Substituting given values: .
Answer
.
Why not the others: '' assumes an incorrect ratio of 1:2; '' miscalculates ; '' adds and .

Practise more Geometry and Trigonometry.

Free questions with an explanation for every one, and full timed CBSE Class 10 mock tests.

In triangle ABC, DE parallel BC such that D… | CBSE Class 10