Question

show that the distance between (-1, 3) ,(4, -2) is 5 root 2 units​

Answer 1

Answer:

firstly using distance formula

under root (xtwo - xone)^2+ (ytwo-yone)^2

under root 25+25=5√2

Answer 2

See the explanation.

Step-by-step explanation:

Given that the points are $(-1, 3)\ and\ (4, -2)$.

The formula to find the distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

$(x_1,y_1)=(-1,3)\\(x_2,y_2)=(4,-2)$

$d=\sqrt{(4-(-1))^2+(-2-3)^2}\\ d=\sqrt{5^2+(-5)^2}\\ d=\sqrt{25+25}\\ d=\sqrt{50}\\ d=5\sqrt{2}\ units$

So, the distance between the point $(-1, 3)\ and\ (4, -2)$ is $5\sqrt{2}$.