How do you find the distance between the point A(6,3) and B(14,9)?

1 Answer
seol
Nov 19, 2016

Distance d_{AB}=10dAB=10 units

Explanation:

Apply distance formula d=\sqrt((y_2-y_1)^2+(x_2-x_1)^2)d=√(y2−y1)2+(x2−x1)2

Given points \color(red){(x_1,y_1)}\leftrightarrow(6,3)(x1,y1)↔(6,3), point A;
\color(blue){(x_2,y_2)}\leftrightarrow(14,9)(x2,y2)↔(14,9), point B;
d_(AB)=\sqrt{(\color(blue)(9)-\color(red)(3))^2+(\color(blue)(14)-\color(red)(6))^2}dAB=√(9−3)2+(14−6)2
\rArr\sqrt{(6)^2+(8)^2}\rArr\sqrt{36+64}\rArr\sqrt{100}\rArr10⇒√(6)2+(8)2⇒√36+64⇒√100⇒10

d_(AB)=10dAB=10 units

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