Question

Find the distance between the points (1,2) and (4,6).​

Answer 1

✮ Question : Find the distance between the points (1,2) and (4,6)

✮ Given Points : (1,2) and (4,6)

✮ To Find : Distance between the given points

✮ Answer : 5 units

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✮ Explanation :

Consider Two Points AB, Then the  Distance Between AB is Given by :

$\sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}$

• Now Consider (1,2) are the vertices of A and (4,6) are the vertices of B

$\sf{\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}$

$\implies\sf{\sqrt{\left(4-1\right)^2+\left(6-2\right)^2}\:\:units}$

$\implies\sf{\sqrt{\left(3\right)^2+\left(4\right)^2}\:\:units}$

$\implies\sf{\sqrt{9+16}\:\:units}$

$\implies\sf{\sqrt{25}\:\:units}$

$\implies\bf{5\:\:units}$