Sarthaks APP
0 votes
28.3k views
in Mathematics by (8.0k points)

If the coordinates of the mid-points of the sides of a triangle are (3, 4), (4, 6) and (5, 7), find its vertices.

1 Answer

0 votes
by (13.2k points)
selected by
 
Best answer

Let A(x1,y1), B(x2,y2), C(x3,y3) be the vertices of ΔABC

Let D(3, 4), E(4, 6) and F(5, 7) be the midpoints of BC, CA and AB.

Since, D is the midpoint of BC

From (iii) and (iv)

Hence the vertices of triangle ABC are (6,9);(4,5);(2,3)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...