SOLUTION: A theorem regarding proportional line segments states that if a line is parallel to one side of a triangle, then it divides the other 2 sides proportionally. What does it mean that

Question 860576: A theorem regarding proportional line segments states that if a line is parallel to one side of a triangle, then it divides the other 2 sides proportionally. What does it mean that it divides the other 2 sides proportionally?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A theorem regarding proportional line segments states that if a line is parallel to one side of a triangle, then it divides the other 2 sides proportionally. What does it mean that it divides the other 2 sides proportionally?
***
Draw a line inside a triangle parallel to one of the sides and you will see that it divides each of the other two sides into 2 parts. The ratio of lengths of one part over the other is the same ratio as that of the other side. For example, if the ratio of the smaller part to the larger part is 1/3 for one of the sides, the same ratio will apply to the smaller and larger parts of the other side. If the parallel line cuts one of the sides in half so will the other side be cut in half.
RELATED QUESTIONS
The area of a triangle is divided into 6 equal parts by line segments parallel to one... (answered by greenestamps,ikleyn)

The area of a triangle is divided into 3 equal parts by line segments parallel to one... (answered by ikleyn)

The area of a triangle is divided into 5 equal parts by line segments parallel to one... (answered by greenestamps)

The area of a triangle is divided into 6 equal parts by line segments parallel to one... (answered by greenestamps,ikleyn)

The area of a triangle is divided into 3 equal parts by line segments parallel to one... (answered by ikleyn)

The following figure shows a type of bridge truss called a Baltimore truss. If members... (answered by Theo)

Fundamental Ideas Points, Lines, and Planes Postulates and Theorems Segments,... (answered by richard1234)

EF is the median of trapezoid ABCD in the figure below. Use the following theorems to... (answered by greenestamps)