Question

the area of triangular region formed by three points (0,4),(0,0)&(-6,0)is​

Answer 1

Answer:

Let the vertices of triangle are A(0,4) ; B(0,0) ; C(-6,0)

x1 = 0 ; y1 =4

x2 = 0 ; y2= 0

x3 = -6 ; y3 = 0

$= \frac{1}{2} |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2| \\ = \frac{1}{2} |0(0 - 0) + 0(0 - 4) + ( - 6)(4 - 0) | \\ = \frac{1}{2} |0 - 0 - 24| \\ = \frac{1}{2} | - 24| \\ = \frac{1}{2} (24) \\ = 12 \: sq. \: units$

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