Triangle & Trigonometric Geometry Calculator
Solve oblique triangles via SSS/SAS/ASA laws, analyze right-triangle trigonometric ratios, and calculate incircles, circumcircles & medians
Interior Angles & Side Dimensions
∠A = 36.87°, ∠B = 53.13°, ∠C = 90.00°
Right Scalene Triangle
Sides: a = 6.000, b = 8.000, c = 10.000 cm
Enclosed Area (Heron’s Formula)
24.000 cm²
Semi-perimeter: s = 12.000 cm
Perimeter (a + b + c)
24.000 cm
Boundary path total length
Incircle Radius (r = Area / s)
2.000 cm
Internal tangent circle
Circumcircle Radius (R)
5.000 cm
R = abc / (4 · Area)
Hypotenuse & Acute Angles
c = 13.000 • ∠A = 22.62°
Pythagoras: a² + b² = 5² + 12² = 169 = 13²
Sine & Cosine of ∠A
sin A = 0.3846 • cos A = 0.9231
Opposite / Hypotenuse
Tangent & Cotangent of ∠A
tan A = 0.4167 • cot A = 2.4000
Opposite / Adjacent
Altitude to Hypotenuse (h_c)
4.615 units
h_c = (a · b) / c
Right Triangle Enclosed Area
30.000 units²
Area = ½ · a · b
Three Side Dimensions for Geometric Concurrency
Heronian Area & Semidiameters
Area = 84.000 • Inradius r = 4.000
Circumradius R = 8.125 • Euler Gap d = 1.436
Altitudes (h_a, h_b, h_c)
12.92, 12.00, 11.20
h_i = 2 · Area / side_i
Medians to Centroid (m_a, m_b, m_c)
13.14, 12.36, 11.51
Apollonius’ theorem lengths
Angle Bisectors (t_a, t_b, t_c)
12.98, 12.10, 11.25
Internal vertex bisectors
Exradii (r_a, r_b, r_c)
10.50, 12.00, 14.00
r_i = Area / (s – side_i)