find the area of triangle whose vertices are( - 8, 4)( - 6, 6) and (-3, 9)

Asked by Atulagrawalagrawal8 | 23rd Oct, 2018, 07:25: PM

Expert Answer:

find the area of triangle whose vertices are( - 8, 4)( - 6, 6) and (-3, 9)
begin mathsize 16px style Area space of space the space triangle space equals space 1 half open square brackets straight x subscript 1 left parenthesis straight y subscript 2 space minus straight y subscript 3 right parenthesis space plus straight x subscript 2 left parenthesis straight y subscript 3 space minus straight y subscript 1 right parenthesis space plus space straight x subscript 3 left parenthesis straight y subscript 1 space minus straight y subscript 2 right parenthesis space close square brackets
Here comma
space left parenthesis straight x subscript 1 comma space straight y subscript 1 right parenthesis space equals space left parenthesis negative 8 comma space 4 right parenthesis
space left parenthesis straight x subscript 2 comma space straight y subscript 2 right parenthesis space equals space left parenthesis negative 6 comma space 6 right parenthesis
space left parenthesis straight x subscript 3 comma space straight y subscript 3 right parenthesis space equals space left parenthesis negative 3 comma space 9 right parenthesis
Substitute space the space values space in space left parenthesis straight i right parenthesis comma space we space get
Area space of space the space triangle space equals 0 end style

Answered by Yasmeen Khan | 24th Oct, 2018, 11:22: AM