Question

Determine graphycally the co-ordinates of the vertices of the triangle, the equations of whose sides are y=x, 3y = x and x+y = 8

Answer 1

ANSWER

Equation of the sides of triangle

2y−x=8 __(i)

5y−x=14 __(ii)

y−2x=1 __(iii)

Using (i) and (ii)

2y−x=8

5y−x=14

−+−

−3y=−6

y=2,x=−4

A(−4,2)

Using (ii) and (iii)

5y−x=14

y−2x=1

9y=27

y=3,x=1

B(1,3)

Using (i) and (iii)

2y−x=8

y−2x=1

3y=15

y=5,x=2

C(2,5)