What is the area of a triangle whose vertices are A(5,-1), B(3,8) & C(-4,2).

Asked by araima2001 | 26th Oct, 2015, 09:48: AM

Expert Answer:

G i v e n space t h a t comma space A open parentheses 5 comma negative 1 close parentheses comma space B open parentheses 3 comma 8 close parentheses space a n d space C open parentheses negative 4 comma 2 close parentheses space a r e space t h e space v r e t i c e s space o f space t h e space t r i a n g l e space triangle A B C. W e space k n o w space t h a t space t h e space a r e a space o f space t h e space t r i a n g l e space i s space A r e a space o f space t r i a n g l e space triangle A B C equals 1 half open square brackets x subscript 1 open parentheses y subscript 2 minus y subscript 3 close parentheses plus x subscript 2 open parentheses y subscript 3 minus y subscript 1 close parentheses plus x subscript 3 open parentheses y subscript 1 minus y subscript 2 close parentheses close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half open square brackets 5 open parentheses 8 minus 2 close parentheses plus 3 open parentheses 2 plus 1 close parentheses minus 4 open parentheses negative 1 minus 8 close parentheses close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half open square brackets 5 cross times 6 plus 3 cross times 3 plus 4 cross times 9 close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half open square brackets 30 plus 9 plus 36 close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 half open square brackets 75 close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 75 over 2 space s q u a r e space u n i t s

Answered by Vimala Ramamurthy | 26th Oct, 2015, 11:39: AM

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