# Triangle calculator SSA

Please enter two sides and a non-included angle
°

### Obtuse scalene triangle.

Sides: a = 312   b = 527   c = 678.5122297075

Area: T = 79397.6955247
Perimeter: p = 1517.512229708
Semiperimeter: s = 758.7566148538

Angle ∠ A = α = 26.36550377232° = 26°21'54″ = 0.46601567157 rad
Angle ∠ B = β = 48.6° = 48°36' = 0.84882300165 rad
Angle ∠ C = γ = 105.0354962277° = 105°2'6″ = 1.83332059214 rad

Height: ha = 508.9659584916
Height: hb = 301.3219526554
Height: hc = 234.0354653725

Median: ma = 587.1276876102
Median: mb = 457.6344372224
Median: mc = 269.1550080215

Inradius: r = 104.6421913479
Circumradius: R = 351.2811311086

Vertex coordinates: A[678.5122297075; 0] B[0; 0] C[206.3299301981; 234.0354653725]
Centroid: CG[294.9477199685; 78.01215512416]
Coordinates of the circumscribed circle: U[339.2566148537; -91.1255326874]
Coordinates of the inscribed circle: I[231.7566148537; 104.6421913479]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.6354962277° = 153°38'6″ = 0.46601567157 rad
∠ B' = β' = 131.4° = 131°24' = 0.84882300165 rad
∠ C' = γ' = 74.96550377232° = 74°57'54″ = 1.83332059214 rad

# How did we calculate this triangle?

### 1. Use 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.