2B Kartezyen Mesafe Motorud = √(Δx² + Δy²)
Koordinat Mesafe ve Orta Nokta Çözücü
Plot any two points (x₁, y₁) and (x₂, y₂) on the Cartesian plane to compute exact radical distance, midpoint, slope, and inclination angle. Looking for standard triangle side lengths or inverse trigonometry? Visit our root Pythagoras equation solver.
Interactive SVG Coordinate GridSimplified Exact RadicalsMidpoint, Slope & Angle
Result updated: Distance is 2radical 13, approximately 7.2111, midpoint is (3, 5).
Koordinat Mesafe ve Orta Nokta Çözücü
d = √((x₂ - x₁)² + (y₂ - y₁)²) · M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Nokta 1 (x₁, y₁)
Enter finite coordinate numbers including negatives or decimals.Nokta 2 (x₂, y₂)
Hızlı Örnekler
Tam Mesafe
2√13
√52
Ondalık Uzunluk
7.211103
dx=4, dy=6
Orta Nokta (M)
(3, 5)
Eğim ve Açı
3/2 (56.31°)
Pisagor Mesafe Türetimi
1. Map Horizontal & Vertical Leg Lengths (dx, dy)
dx = |5 - 1| = 4, dy = |8 - 2| = 6
a = 4, b = 6
2. Apply the Pythagorean Sum of Squares
d² = 4² + 6²
d² = 16 + 36 = 52
3. Extract Exact Radical & Decimal Hypotenuse
d = √52
d = 2√13 ≈ 7.2111
4. Compute Midpoint & Slope
M = ((1 + 5)/2, (2 + 8)/2)
M = (3, 5), m = 3/2
Mesafe Formülü a² + b² = c² ile Nasıl Eşleşir
Every non-vertical, non-horizontal segment between two points forms the hypotenuse c of an invisible right triangle whose horizontal run is a = dx = |x₂ - x₁| and whose vertical rise is b = dy = |y₂ - y₁|.
a² + b² = c² ⟹ (|x₂ - x₁|)² + (|y₂ - y₁|)² = d² ⟹ d = √((x₂ - x₁)² + (y₂ - y₁)²)