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Solution
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Solution provided by AtoZmath.com
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Distance between two points calculator
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1. Find the distance between the points A(5,-8) and B(-7,-3)
2. Find the distance between the points A(7,-4) and B(-5,1)
3. Find the distance between the points A(-6,-4) and B(9,-12)
4. Find the distance between the points A(1,-3) and B(4,-6)
5. Find the distance between the points A(-5,7) and B(-1,3)
6. Find the distance between the points A(-8,6) and B(2,0)
7. Find the distance between the points A(0,0) and B(7,4)
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Example1. Find the distance between the points A(5,-8) and B(-7,-3)Solution:Points are A(5,-8),B(-7,-3):. x_1=5,y_1=-8,x_2=-7,y_2=-3AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)AB=sqrt((-7-5)^2+(-3+8)^2)=sqrt((-12)^2+(5)^2)=sqrt(144+25)=sqrt(169):. AB=13
2. Find the distance between the points A(7,-4) and B(-5,1)Solution:Points are A(7,-4),B(-5,1):. x_1=7,y_1=-4,x_2=-5,y_2=1AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)AB=sqrt((-5-7)^2+(1+4)^2)=sqrt((-12)^2+(5)^2)=sqrt(144+25)=sqrt(169):. AB=13
3. Find the distance between the points A(-6,-4) and B(9,-12)Solution:Points are A(-6,-4),B(9,-12):. x_1=-6,y_1=-4,x_2=9,y_2=-12AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)AB=sqrt((9+6)^2+(-12+4)^2)=sqrt((15)^2+(-8)^2)=sqrt(225+64)=sqrt(289):. AB=17
4. Find the distance between the points A(1,-3) and B(4,-6)Solution:Points are A(1,-3),B(4,-6):. x_1=1,y_1=-3,x_2=4,y_2=-6AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)AB=sqrt((4-1)^2+(-6+3)^2)=sqrt((3)^2+(-3)^2)=sqrt(9+9)=sqrt(18):. AB=3sqrt(2)
5. Find the distance between the points A(-5,7) and B(-1,3)Solution:Points are A(-5,7),B(-1,3):. x_1=-5,y_1=7,x_2=-1,y_2=3AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)AB=sqrt((-1+5)^2+(3-7)^2)=sqrt((4)^2+(-4)^2)=sqrt(16+16)=sqrt(32):. AB=4sqrt(2)
6. Find the distance between the points A(-8,6) and B(2,0)Solution:Points are A(-8,6),B(2,0):. x_1=-8,y_1=6,x_2=2,y_2=0AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)AB=sqrt((2+8)^2+(0-6)^2)=sqrt((10)^2+(-6)^2)=sqrt(100+36)=sqrt(136):. AB=2sqrt(34)
7. Find the distance between the points A(0,0) and B(7,4)Solution:Points are A(0,0),B(7,4):. x_1=0,y_1=0,x_2=7,y_2=4AB=sqrt((x_2-x_1)^2+(y_2-y_1)^2)AB=sqrt((7-0)^2+(4-0)^2)=sqrt((7)^2+(4)^2)=sqrt(49+16)=sqrt(65):. AB=sqrt(65)
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