Sarthaks APP
0 votes
13.1k views
in Mathematics by (8.0k points)

The vertices of ΔABC are (-2, 1), (5, 4) and (2, -3) respectively. Find the area of the triangle and the length of the altitude through A.

1 Answer

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

 Let A(-2, 1), B(5, 4) and C(2, -3) be the vertices of ΔABC.

Let AD be the altitude through A.

Area of ΔABC

But area cannot be negative

Therefore, Area of ΔABC = 20square units

We know that area of Δ

Therefore, Length of the altitude AD=40/√58

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

...