Question

t(0, 5) and f(3, 6), then what is the distance from point t to f?
2.24
10.05
3.16
clear all

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $T(0,5)$ means $x_1 = 0,y_1 = 5$ and $F(3,6)$ means $x_2=3,y_2 = 6$.

Step2: Substitute values

$d=\sqrt{(3 - 0)^2+(6 - 5)^2}=\sqrt{3^2+1^2}=\sqrt{9 + 1}=\sqrt{10}\approx3.16$.

Answer:

3.16