If the two vertices of a triangle are (7,2) and (1,6) and its centroid is (4,6) then the coordinate of the third vertex are (a, b). The value of (a+b) is

Question

If the two vertices of a triangle are (7,2) and (1,6) and its centroid is (4,6) then the coordinate of the third vertex are (a, b). The value of (a+b) is (A) 13 (B) 14 (C) 15 (D) 16

Tardigrade Admin · Accepted Answer

(7+1+a/3)=4 and (2+6+b/3) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/ef8dba59eba44503fcf772938d4accf7-.png" /> a =4 and b =10 ⇒ a + b =14

Q. If the two vertices of a triangle are $(7, 2)$ and $(1, 6)$ and its centroid is $(4, 6)$ then the coordinate of the third vertex are $(a, b)$ . The value of $(a + b)$ is

13

14

15

16

$\frac{7 + 1 + a}{3} = 4$ and $\frac{2 + 6 + b}{3}$

$a = 4$ and $b = 10$
$\Rightarrow a + b = 14$

Q. If the two vertices of a triangle are (7,2) and (1,6) and its centroid is (4,6) then the coordinate of the third vertex are (a,b). The value of (a+b) is

13

14

15

16

37+1+a​=4 and 32+6+b​ a=4 and b=10 ⇒a+b=14

Q. If the two vertices of a triangle are $(7, 2)$ and $(1, 6)$ and its centroid is $(4, 6)$ then the coordinate of the third vertex are $(a, b)$ . The value of $(a + b)$ is

$\frac{7 + 1 + a}{3} = 4$ and $\frac{2 + 6 + b}{3}$

$a = 4$ and $b = 10$
$\Rightarrow a + b = 14$