Question

find the distance between A(1,-3) and B(-4,4) and rounded off to two decimals

Answer 1

Answer: 8.602 unit

Solution:

Distance Formula: if two points A(x1,y1) and B(x2,y2) are given than distance between them is given by

$AB = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} }$
here A(1,-3) and B(-4,4)

$\sqrt{ {( - 4 - 1)}^{2} + {(4 - ( - 3))}^{2} } \\ \\ \\ = \sqrt{ {( - 5)}^{2} + ( {7)}^{2} } \\ \\ = \sqrt{25 + 49} \\ \\ AB= \sqrt{74}$
Now calculate the under root of 74

$8 \: \: )74 \: \: (8.602 \\ \: \: \: \: \: \: 64 \\ - - - - - \\ 166 \: )1000 \\ \: \: \: \: \: \: \: \: \: \: 996 \\ - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \:1722 )40000 \\ \: \: \: \: \: \: \: \: - - -$
So the distance between these points is 8.602 unit.