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Asked by sucharitasahoo1 | 26th Nov, 2017, 12:26: AM

Expert Answer:

begin mathsize 16px style straight A left parenthesis 4 comma negative 6 right parenthesis equals open parentheses straight x subscript 1 comma straight y subscript 1 close parentheses
straight B left parenthesis 3 comma negative 2 right parenthesis equals open parentheses straight x subscript 2 comma straight y subscript 2 close parentheses
straight C left parenthesis 5 comma 2 right parenthesis equals open parentheses straight x subscript 3 comma straight y subscript 3 close parentheses
Let space straight M space be space the space mid space point space of space BC
straight M equals left parenthesis fraction numerator 5 plus 3 over denominator 2 end fraction comma fraction numerator negative 2 over denominator 2 end fraction right parenthesis equals left parenthesis 4 comma 0 right parenthesis equals left parenthesis straight x comma straight y right parenthesis
Area space of space increment ABD
1 half open square brackets straight x subscript 1 open parentheses straight y subscript 2 minus straight y close parentheses plus straight x subscript 2 open parentheses straight y minus straight y subscript 1 close parentheses plus straight x subscript 3 open parentheses straight y subscript 1 minus straight y subscript 2 close parentheses close square brackets
Putting space values space we space get space area space equals space 3 space sq. space units
Similarly space area space of space increment ADC
1 half open square brackets straight x subscript 1 open parentheses straight y minus straight y subscript 3 close parentheses plus straight x open parentheses straight y subscript 3 minus straight y subscript 1 close parentheses plus straight x subscript 3 open parentheses straight y subscript 1 minus straight y close parentheses close square brackets
You space get space 3 space sq space units space area
Hence comma
Area space of space increment ABD equals Area space of space increment ADC end style

Answered by Sneha shidid | 26th Nov, 2017, 01:16: AM