Question

Oblicz długość odcinka AB jezeli

a) A(-2,3) i B(3,-1)

b) A(4,-3) i B(-2,5)

c)A(-1,2) i B(5,2)

d) A(0,-2) i b (-3,-3)

Answer 1

|AB|² = (xB-xA)²+(yB-yA)²

 

a)

|AB|² = (3-(-2))²+(-1-3)²

|AB|² = 5²+(-4)²

|AB|² = 25+16

|AB|² = 41

|AB| = √41

 

b)

|AB|² = (-2-4)²+(5-(-3))²

|AB|² = (-6)²+8²

|AB|² = 36+64

|AB|² = 100

|AB| = 10

 

c)

|AB|² = (5-(-1))²+(2-2)²

|AB|² = 6²+0²

|AB|² = 36+0

|AB|² = 36

|AB| = 6

 

d)

|AB|² = (-3-0)²+(-3-(-2))²

|AB|² = (-3)²+(-1)²

|AB|² = 9+1

|AB|² = 10

|AB| = √10