Coordinated Triangle

Geometry Level 3

Let $A, B$ and $C$ be the intersection points between line $r:\quad x+y-2=0$ , line $s:\quad x-7y+2=0$ and the $x$ -axis. The sum of the coordinates of the gravity center of the $ABC$ triangle is $\text{\_\_\_\_\_\_\_\_\_\_}$ .

An integer An irrational number

\frac{3}{2}

None of the options A negative number

1 solution

Aziz Alasha
Mar 14, 2017

x+y=2 & x-7y = -2 their intersection is A = (3/2,1/2) , solving for the intersection with x-axis i.e y=0 : x = 3/2 , 1/2 , B = (3/2,0) , C = ( 1/2 ,0 ) centre of gravity for ABC is (1/2,1/6) sum of 1/2 & 1/6 = 2/3 the correct solution is : none of the options

Coordinated Triangle

1 solution

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