# Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

### Acute scalene triangle.

Sides: a = 218.5   b = 224.5   c = 215.5110350677

Area: T = 20844.99993711
Perimeter: p = 658.5110350677
Semiperimeter: s = 329.2555175339

Angle ∠ A = α = 59.50660511828° = 59°30'22″ = 1.0398576518 rad
Angle ∠ B = β = 62.29439488172° = 62°17'38″ = 1.08772345109 rad
Angle ∠ C = γ = 58.2° = 58°12' = 1.01657816247 rad

Height: ha = 190.8010909576
Height: hb = 185.7021553418
Height: hc = 193.4487779242

Median: ma = 191.0155491844
Median: mb = 185.7244037552
Median: mc = 193.5466046686

Inradius: r = 63.31095572444
Circumradius: R = 126.7876800531

Vertex coordinates: A[215.5110350677; 0] B[0; 0] C[101.588841817; 193.4487779242]
Centroid: CG[105.7699589616; 64.48325930807]
Coordinates of the circumscribed circle: U[107.7555175339; 66.81110393324]
Coordinates of the inscribed circle: I[104.7555175339; 63.31095572444]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120.4943948817° = 120°29'38″ = 1.0398576518 rad
∠ B' = β' = 117.7066051183° = 117°42'22″ = 1.08772345109 rad
∠ C' = γ' = 121.8° = 121°48' = 1.01657816247 rad

# How did we calculate this triangle?

### 1. Calculation of the third side c of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines ### 7. Inradius ### 8. Circumradius ### 9. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.