Find the area of DABC whose vertices are A (8,-4 ) , B (3,6 ) and C (-2,4 ) ?
A/ 40 B/ 30
C/ 20 D/ 15
Answers
Answer:
Solution
verified
Verified by Toppr
△ABC has vertices A(4,2),B(3,9) and C(10,10).
The area of a triangle formed by joining the points (x
1
,y
1
),(x
2
,y
2
),(x
3
,y
3
) is
2
1
∣x
1
(y
2
−y
3
)+x
2
(y
3
−y
1
)+x
3
(y
1
−y
2
)∣
∴ Area of △ABC
2
1
∣4(9−10)+3(10−2)+10(2−9)∣
=
2
1
∣−4+24−70∣=
2
50
=25
Hence, area of triangle ABC is 25.
search-icon-header
Search for questions & chapters
search-icon-image
Class 11
>>Applied Mathematics
>>Straight lines
>>Introduction
>>Find the area of triangle ABC having ve
Question
Bookmark
Find the area of triangle △ABC having vertices A(4,2),B(3,9) and C(10,10).
Easy
Solution
verified
Verified by Toppr
△ABC has vertices A(4,2),B(3,9) and C(10,10).
The area of a triangle formed by joining the points (x
1
,y
1
),(x
2
,y
2
),(x
3
,y
3
) is
2
1
∣x
1
(y
2
−y
3
)+x
2
(y
3
−y
1
)+x
3
(y
1
−y
2
)∣
∴ Area of △ABC
2
1
∣4(9−10)+3(10−2)+10(2−9)∣
=
2
1
∣−4+24−70∣=
2
50
=25
Hence, area of triangle ABC is 25