Question

determine graphically the coordinates of vertices of a triangle the equation of whose side are y=x,y=2x and y+x=6​

Answer 1

Answer:

To Draw y = x , we will plot the points (1,1) and (0,0)

To Draw y = 2 x , we will plot the points (1,2) and (0,0)

To Draw x + y = 6 , we will plot the points (0,6) and (6,0)

The area of the shaded region

= A( angle ABC ) -A( angle ADC)

$= \frac{1}{2} \times height \: of \: angle \: \: abc \: \times ac + \frac{1}{2} \times height \: of \: angle \: adc \: \times ac$

$= \frac{1}{2} \times 4 \times 6 + \frac{1}{2} \times 3 \times 6$

$= > 21 \: cm \: {}^{2}$

Coordinates of A (0,0) , B (2,4) , D (3,3)