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Showing 1 question for Class 10. Tap a card to reveal the answer.

MathematicsCoordinate Geometryeasy

Find the distance between the points (2, 3) and (5, 7).

Reveal answer ↓

What it is

The distance between two points is the hypotenuse of the right triangle of their coordinate gaps.

Answer

The distance formula is d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]. Here d = sqrt[(5 - 2)^2 + (7 - 3)^2] = sqrt[9 + 16] = sqrt[25] = 5 units.

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

  • •d = sqrt[(x2-x1)^2 + (y2-y1)^2]
  • •= sqrt[9 + 16] = sqrt[25]
  • •Distance = 5 units

Why learn this

GPS, video games, robotics and maps all compute 'how far' with this exact formula.

💡 Memory trick

It's just Pythagoras: sqrt of (x-gap)^2 + (y-gap)^2.