Question

Determine graphically the vertices of the triangle, the equations of whose side are give below:
$y=x,y=0$ and $3x+3y=10$

• A. $(0,0)(\frac{10}{3},0)(\frac{5}{3},\frac{5}{3})$
• B. $(0,0)(\frac{17}{3},0)(\frac{5}{3},\frac{5}{3})$
• C. $(0,0)(\frac{14}{3},0)(\frac{5}{3},\frac{5}{3})$
• D. $(0,0)(\frac{10}{3},0)(\frac{5}{3},\frac{8}{3})$

Answer 1

The correct option is A $(0,0)(\frac{10}{3},0)(\frac{5}{3},\frac{5}{3})$

As shown in the graph , to find vertices of required triangle,

We can find intersection of lines

1. $3x+3y=10$ and $y=x$ which is $(\frac{5}{3},\frac{5}{3})$

2. $y=0$ and $3x+3y=10$ which is $(\frac{10}{3},0)$

3. $y=x$ and $y=0$ which is origin $(0,0)$