The points given are $(1, 1)$, $(-2, 7)$ and $(3, 3)$.Find distance between the points.

Let the points be

$A(1,1)$, $B(-2,7)$, $C(3,3)$

Distance of $AB=\sqrt { { \left( -2-1 \right) }^{ 2 }+{ \left( 7-1 \right) }^{ 2 } }$

$=\sqrt { 9+36 } =\sqrt { 45 }$

Distance of $BC=\sqrt { { \left( 3+2 \right) }^{ 2 }+{ \left( 3-7 \right) }^{ 2 } }$

$=\sqrt { 25+16 } =\sqrt { 41 }$

Distance of $AC=\sqrt { { \left( 3-1 \right) }^{ 2 }+{ \left( 3-1 \right) }^{ 2 } } =\sqrt { 8 }$