Mathematics
Grade9
Easy

Question

In the figure, to find the value of x which theorem can be used?

  1. Triangles proportionality theorem
  2. Converse proportionality theorem for triangles
  3. Angle bisector theorem for triangles
  4. Theorem for parallel lines cut by a transversal in proportion

hintHint:

The angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

The correct answer is: Angle bisector theorem for triangles


    In the given triangle, we have by angle bisector theorem, we have
    14/x = 21/15
    => x = (14× 15 )/21
    => x = 10.
    Hence, the correct option is B.

    Here, the value of x is 10.

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