![]() ![]() ![]() Have to give us three points is because if they just said arc AC, it would still ambiguousīecause there's two arc ACs. The length of arc ABC? So arc ABC is this arc right over here and the reason why they OR, as Sal did here, we can use the great shortcut-thanks to one of the circle theorems-that a radius bisects chord AB if it is perpendicular to it, which is given.īOOM! We then can be confident that the leg BC is 3 units long and use the other shortcut of the Pythagorean Triple 3, 4, 5 to answer. ![]() Then we know that OC bisects AB, and BC is 3 units long. Then we can use the HL Congruency to show that the triangles are congruent and then using CPCTC that the AC and BC are congruent. We need to use the fact that the radius is the hypotenuse of both right triangles. In geometry, we cannot use the fact that it seems like about half of 6. HOWEVER, the point with this question is that we don't know without using some other geometry that the small leg is actually 3. Then we learn that 3, 4, 5 is a Pythagorean triplet like 12, 13, 5 and 24, 7, 25 and 6, 8, 10 The reason we can use the 3, 4, 5-triangle AFTER we know for sure that BC = 3 is that we know from using the Pythagorean Theorem (once or dozens of times) that our result will be 4 IF the hypotenuse is 5 and the other leg is 3. Here we DON'T know that the small leg is 3 at first. Yes, you can always do that if you encounter a right triangle with a hypotenuse of 5 and one leg measuring 3. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |