Question

In triangle proportionality, the ratio of the lengths of two sides is proportional to the ratio of the lengths of the corresponding sides of the isosceles triangle. This leads to the proportion that corresponds to the angle bisector theorem of ________.

1) the Pythagorean theorem
2) the Law of Sines
3) the Law of Cosines
4) the Angle-Side Relationship

Answer 1

The proportion that corresponds to the angle bisector theorem in triangle proportionality is the Angle-Side Relationship.

Step-by-step explanation:

The proportion that corresponds to the angle bisector theorem in triangle proportionality is the Angle-Side Relationship. In an isosceles triangle, the angle bisector divides the base into segments that are proportional to the lengths of the two congruent sides. This relationship can be expressed as:

If AD is the angle bisector of ∠A in triangle ABC:

(AB)/(AC) = (BD)/(CD)