Mathematics
Grade9
Easy

Question

Theorem used to find the value of AB in the following figure

  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


    Angle bisector theorem
    fraction numerator A B over denominator A C end fraction equals fraction numerator B D over denominator C D end fraction
    So, we can find AB by angle bisector theorem.

    Here, AB = 4√2.

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