# Triangle calculator

Please enter what you know about the triangle:
You have entered side b, height hc, angle α and angle γ.

### Obtuse scalene triangle.

Sides: a = 49.99331552466   b = 111.8   c = 99.99326420241

Area: T = 2499.474381375
Perimeter: p = 261.7865797271
Semiperimeter: s = 130.8932898635

Angle ∠ A = α = 26.562° = 26°33'43″ = 0.46435943559 rad
Angle ∠ B = β = 90.008° = 90°29″ = 1.57109359531 rad
Angle ∠ C = γ = 63.43° = 63°25'48″ = 1.10770623445 rad

Height: ha = 99.99326410494
Height: hb = 44.71333061494
Height: hc = 49.99331547593

Median: ma = 103.0733058248
Median: mb = 55.8943756496
Median: mc = 70.708817259

Inradius: r = 19.0965564693
Circumradius: R = 55.99000005449

Vertex coordinates: A[99.99326420241; 0] B[0; 0] C[-0.00769803613; 49.99331547593]
Centroid: CG[33.32985538876; 16.66443849198]
Coordinates of the circumscribed circle: U[49.9966321012; 25.00435586703]
Coordinates of the inscribed circle: I[19.09328986353; 19.0965564693]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.438° = 153°26'17″ = 0.46435943559 rad
∠ B' = β' = 89.992° = 89°59'31″ = 1.57109359531 rad
∠ C' = γ' = 116.57° = 116°34'12″ = 1.10770623445 rad

# How did we calculate this triangle?

### 1. Input data entered: side b, angle α, angle γ and height hc. ### 2. From angle α and angle γ we calculate angle β: ### 3. From angle α, angle β and side b we calculate side a - By using the law of sines, we calculate unknown side a: ### 4. 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. ### 5. The triangle circumference is the sum of the lengths of its three sides ### 6. Semiperimeter of the triangle ### 7. The triangle area using Heron's formula ### 8. Calculate the heights of the triangle from its area. ### 9. Calculation of the inner angles of the triangle using a Law of Cosines    