I hope that this isn't too late and that my explanation has helped rather than made things more confusing. You can then equate these ratios and solve for the unknown side, RT. SSS similarity : If the corresponding sides of two triangles are proportional, then the two triangles are similar. Introducing a diagonal into any of those shapes creates two triangles. The following postulate, as well as the SSS and SAS Similarity Theorems, will be used in proofs just as SSS, SAS, ASA, HL, and AAS were used to prove triangles congruent. If you want to know how this relates to the disjointed explanation above, 30/12 is like the ratio of the two known side lengths, and the other ratio would be RT/8. Side Side Side (SSS) You can check polygons like parallelograms, squares and rectangles using these postulates. This concept teaches students to decide whether or not two triangles are similar using SSS Similarity. Now that we know the scale factor we can multiply 8 by it and get the length of RT: If you solve it algebraically (30/12) you get: I like to figure out the equation by saying it in my head then writing it out: In this case you have to find the scale factor from 12 to 30 (what you have to multiply 12 by to get to 30), so that you can multiply 8 by the same number to get to the length of RT. The SSS similarity theorem is Euclids Proposition VI.5: If two triangles have their sides proportional, then the triangles are equiangular with the equal. The first step is always to find the scale factor: the number you multiply the length of one side by to get the length of the corresponding side in the other triangle (assuming of course that the triangles are congruent).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |