Question

Using the Pythagorean

Theorem, find the distance
between the points (-3, -3) and
(7,6)
The distance is: Units
(round to the nearest tenth)

Answer 1

• No need of getting confused about using Pythagorean theorem. Question is indirectly saying to apply distance formula
• P(-3,-3)
• Q(7,6)

`\\ \sf\longmapsto PQ=√((7+3)^2+(6+3)^2)`

`\\ \sf\longmapsto PQ=√((10)^2+(9)^2)`

`\\ \sf\longmapsto PQ=√(100+81)`

`\\ \sf\longmapsto PQ=√(181)`

`\\ \sf\longmapsto PQ\approx 13.4units`

Answer 2

• 13.5 units

Explanation:

Use distance formula:

• 
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute the coordinates:

• 
  `d = √((-3-7)^2+(-3-6)^2) =√(10^2+9^2) =√(181) =13.5` rounded