# Triangle calculator SAS

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

### Acute isosceles triangle.

Sides: a = 200   b = 200   c = 153.0733372946

Area: T = 14142.13656237
Perimeter: p = 553.0733372946
Semiperimeter: s = 276.5376686473

Angle ∠ A = α = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ B = β = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 141.4211356237
Height: hb = 141.4211356237
Height: hc = 184.7765906502

Median: ma = 147.3632575821
Median: mb = 147.3632575821
Median: mc = 184.7765906502

Inradius: r = 51.14401789184
Circumradius: R = 108.2399220029

Vertex coordinates: A[153.0733372946; 0] B[0; 0] C[76.5376686473; 184.7765906502]
Centroid: CG[76.5376686473; 61.59219688341]
Coordinates of the circumscribed circle: U[76.5376686473; 76.5376686473]
Coordinates of the inscribed circle: I[76.5376686473; 51.14401789184]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5° = 112°30' = 1.17880972451 rad
∠ B' = β' = 112.5° = 112°30' = 1.17880972451 rad
∠ C' = γ' = 135° = 0.78553981634 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.