Pythagorean Theorem Calculator | Solve a² + b² = c²...
Solve for the hypotenuse or any missing leg of a right triangle with our Pythagorean Theorem Calculator. Includes simplified radical forms and...
Solved Hypotenuse c
5.0000
Solved
Exact Radical Form5
Altitude to Hypotenuse2.400
Right-Angle Geometry Vector plot
Triangle Dimensions
Perimeter (P)12.000 units
Area (A)6.000 sq units
Algebraic Substitution Steps
Identify the governing Pythagorean formula: a² + b² = c²
Given Leg a = 3, Leg b = 4. Solve for Hypotenuse c:
c² = a² + b²
c² = 3² + 4² = 9 + 16 = 25
c = √25 ≈ 5.000000
5. Calculate auxiliary metrics:
Perimeter P = a + b + c = 3.0000 + 4.0000 + 5.0000 = 12.0000
Area A = 0.5 × a × b = 0.5 × 3.0000 × 4.0000 = 6.0000
Altitude h_c = (a × b) / c = 2.4000