Enjin Jarak Cartes 2Dd = √(Δx² + Δy²)
Penyelesai Jarak Koordinat & Titik Tengah
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).
Penyelesai Jarak Koordinat & Titik Tengah
d = √((x₂ - x₁)² + (y₂ - y₁)²) · M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Titik 1 (x₁, y₁)
Enter finite coordinate numbers including negatives or decimals.Titik 2 (x₂, y₂)
Contoh Pantas
Jarak Tepat
2√13
√52
Panjang Perpuluhan
7.211103
dx=4, dy=6
Titik Tengah (M)
(3, 5)
Kecerunan & Sudut
3/2 (56.31°)
Terbitan Pythagoras
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
Bagaimana Formula Jarak Menggunakan a² + b² = c²
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)