How do you prove that a line parallel to one side of a triangle divides the other two sides proportionally and converse (Triangle Proportionality Theorem)?

Respuesta :

In order to prove that a line that is parallel to one side of a triangle divides the other sides proportionally, you can use the Cross Product Property.

What proof does the Cross Product Property give?

If a line is parallel to one side of a triangle and divides the other two sides, those sides would be proportional to each other according to the Triangle Proportionality Theorem.

This can be shown as:

AB² = BC x BD

Where the two sides can be multiplied to get the length of the side the parallel line crossed from.

Find out more on the cross-product property at https://brainly.com/question/24226105.

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