Question

On a cm grid, point p has coordinates (3,-1) and point q has coordinates (-5,6) calculate the shortest distance between p and q give answer t 1 decimal place

17caslan19 avatar
the base of the tringle would be 8 and the height would be 7 use pythagorus

Answer 1

≈ 10.6 units

Explanation:

Calculate the distance d using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = p(3, - 1) and (x₂, y₂ ) = q(- 5, 6)

d =
`√((-5-3)^2+(6+1)^2)`

=
`√((-8)^2+ 7^2)`

=
`√(64+49)`

=
`√(113)` ≈ 10.6 ( to 1 dec. place )