If the area of the triangle with vertices (2,5),(7, k) and (3, 1) is 10 , then find the value of k.

Question

If the area of the triangle with vertices (2,5),(7, k) and (3, 1) is 10 , then find the value of k. (A) -5 or 35 (B) 5 or -35 (C) 15 or -5 (D) -5 or -25

Tardigrade Admin · Accepted Answer

10=(1/2) |2 5 7 k 3 1 2 5| k=5 or -35

Q. If the area of the triangle with vertices $(2, 5), (7, k)$ and $(3, 1)$ is $10$ , then find the value of $k$ .

-5 or 35

5 or -35

15 or -5

-5 or -25

$10 = \frac{1}{2} ∣ ∣ 2732 5 k 15 ∣ ∣$
$k = 5$ or $- 35$

Q. If the area of the triangle with vertices (2,5),(7,k) and (3,1) is 10 , then find the value of k.

-5 or 35

5 or -35

15 or -5

-5 or -25

10=21​∣∣​2732​5k15​∣∣​ k=5 or −35

Q. If the area of the triangle with vertices $(2, 5), (7, k)$ and $(3, 1)$ is $10$ , then find the value of $k$ .

$10 = \frac{1}{2} ∣ ∣ 2732 5 k 15 ∣ ∣$
$k = 5$ or $- 35$