Question

Find the distance between the points (8, 6) and (5, 2).

Answer 1

5 units by distance formula

Answer 2

Given

Find the distance between the points (8, 6) and (5, 2).

Solution

✞ Applying distance formula to solve this question

* Let A(8, 6) and B(5, 2)

Distance from A to B

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

➝ AB =$\sf \sqrt{(5-8)^2 + (2-6)^2}$

➝ AB = $\sf \sqrt{(-3)^2 + (-4)^2}$

➝ AB = $\sf \sqrt{9 + 16}$

➝ AB = $\sf \sqrt{25}$

➝ AB = $\sf 5\:unit$

Note

★ Section Formula ★

$\sf \dfrac{m_1x_2 + m_2x_1}{m_1+m_2} , \dfrac{m_1y_2 + m_2y_1}{m_1+m_2}$

★ Mid point formula ★

$\sf \dfrac{x_1+x_2}{2},\dfrac{y_2+y_1}{2}$