Notice how the intersecting chords also intersect the circle. The relationship that ties together angles and arcs is this: Using the diagram below, we will share that relationship. When two chords intersect, there are certain arcs and angles that share an interesting relationship. To solve, we will begin by using the distributive property. We will multiply the pieces of one chord and set the product equal to the product of the pieces of the other chord, like so. Ideo: Chord-Chord Partial Length RelationshipĮxample 2: Solve for the x-value shown in this diagram. The relationship informs us that we must calculate the product of the pieces of one chord and set it equal to the product of the pieces of the other chord, like so.įinishing the relationship, we get this algebra. The diagram above has two intersecting chords. Here is an example of how the relationship is applied.Įxample 1: Solve for the x-value shown in this diagram. To see how this relationship is proven, watch this video. Sometimes it is more advantageous to write the relationship using words, like this. The mathematical relationship that exists can be written like this. ![]() Chord RS is split into segments IR and IS and chord TU is split into segments IU and IT. Consequently, each chord is fractured into two pieces. Examine this diagram to view intersecting chords RS and TU. ![]() Within this section, we will explore the relationships of lengths between intersecting chords of a single circle.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |