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Showing 1 question in Mathematics for Class 10. Tap a card to reveal the answer.
MathematicsCoordinate GeometryeasyFind the distance between the points (2, 3) and (5, 7).
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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.