Question

A(1, 2); B(3, - 4) and C(5, - 6) are the vertices of triangle ABC. Find: (i) the equation of the right bisector of BC; (ii) the equation of the right bisector of CA; (iii) the co-ordinates of the circumcentre of triangle ABC.

Name: a1 2 b3 4 and c5 6 are the vertices of triangle abc find i the equation of the right bisector of bc ii the equation of the right bisector of ca iii the co ordinates of the circumcentre of tr 98087
Uploaded: 2022-07-26T17:33:51-08:00
Duration: 5 min 34 s
Channel: James Kiss
Description: a1 2 b3 4 and c5 6 are the vertices of triangle abc find i the equation of the right bisector of bc ii the equation of the right bisector of ca iii the co ordinates of the circumcentre of tr 98087

          A(1, 2); B(3, - 4) and C(5, - 6) are the vertices of triangle ABC. Find: (i) the equation of the right bisector of BC; (ii) the equation of the right bisector of CA; (iii) the co-ordinates of the circumcentre of triangle ABC.

Added by Robert L.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert James Kiss

07/26/2022

Step 1

The midpoint formula is \(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\). For points B(3, -4) and C(5, -6), the midpoint, let's call it M1, is calculated as follows: \[M1 = \left(\frac{3 + 5}{2}, \frac{-4 - 6}{2}\right) = \left(\frac{8}{2}, \frac{-10}{2}\right) = (4, Show more…

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A(1, 2); B(3, - 4) and C(5, - 6) are the vertices of triangle ABC. Find: (i) the equation of the right bisector of BC; (ii) the equation of the right bisector of CA; (iii) the co-ordinates of the circumcentre of triangle ABC.