One of its uses looks about Triangle Proportionality Theorem, hence spends a column created synchronous to one edge of a beneficial triangle to determine proportions to your almost every other a couple of edges.
Earliest, why don’t we temporarily coverage synchronous outlines. Several traces is actually synchronous if they don’t intersect. Servings of those traces, such as rays and you may line places, are also synchronous. Throughout the attracting lower than, range portion W O was parallel to help you range portion L F :
The fresh new triangle proportionality theorem says that in the event that you draw a column built synchronous to one edge of a good triangle intersects another a couple of edges of triangle and you can divides the remainder several edges proportionally.
Let us crack this down. Mark an excellent triangle (scalene, proper, obtuse — it doesn’t matter) having that side horizontal for you. Title it ? S L We with front side L I in the bottom, horizontal to you. Side S L is to their leftover and you will S We into correct.
Create a line synchronous so you’re able to L I anyplace you like very they slices over the inside of the new triangle. Where the synchronous line crosses corners S L and you may S I , term those individuals facts C and you can E . Read More
