# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and height hb.

Triangle has two solutions: a=0.013; b=0.016; c=0.02441867732 and a=0.013; b=0.016; c=0.01662788206.

### #1 Obtuse scalene triangle.

Sides: a = 0.013   b = 0.016   c = 0.02441867732

Area: T = 09.6E-5
Perimeter: p = 0.05331867732
Semiperimeter: s = 0.02765933866

Angle ∠ A = α = 29.74548812969° = 29°44'42″ = 0.51991461142 rad
Angle ∠ B = β = 37.6355253755° = 37°38'7″ = 0.65768590928 rad
Angle ∠ C = γ = 112.6219864948° = 112°37'11″ = 1.96655874465 rad

Height: ha = 0.01547692308
Height: hb = 0.012
Height: hc = 0.0087938223

Median: ma = 0.01994486503
Median: mb = 0.0187691806
Median: mc = 0.00881394103

Inradius: r = 0.00436099201
Circumradius: R = 0.01331011688

Vertex coordinates: A[0.02441867732; 0] B[0; 0] C[0.0110294883; 0.0087938223]
Centroid: CG[0.01114938854; 0.00326460743]
Coordinates of the circumscribed circle: U[0.01220933866; -0.00550389111]
Coordinates of the inscribed circle: I[0.01105933866; 0.00436099201]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.2555118703° = 150°15'18″ = 0.51991461142 rad
∠ B' = β' = 142.3654746245° = 142°21'53″ = 0.65768590928 rad
∠ C' = γ' = 67.3880135052° = 67°22'49″ = 1.96655874465 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and height hb. ### 2. From side b we calculate T: 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines   ### 10. Calculation of medians ### #2 Acute scalene triangle.

Sides: a = 0.013   b = 0.016   c = 0.01662788206

Area: T = 09.6E-5
Perimeter: p = 0.04552788206
Semiperimeter: s = 0.02326394103

Angle ∠ A = α = 47.4989552922° = 47°29'22″ = 0.82988490588 rad
Angle ∠ B = β = 65.1330312026° = 65°7'49″ = 1.13767383877 rad
Angle ∠ C = γ = 67.3880135052° = 67°22'49″ = 1.17660052071 rad

Height: ha = 0.01547692308
Height: hb = 0.012
Height: hc = 0.01217944662

Median: ma = 0.01547732867
Median: mb = 0.01223693169
Median: mc = 0.01220933866

Inradius: r = 0.00442403931
Circumradius: R = 0.00988176945

Vertex coordinates: A[0.01662788206; 0] B[0; 0] C[0.00554672265; 0.01217944662]
Centroid: CG[0.00772486824; 0.00439314887]
Coordinates of the circumscribed circle: U[0.00881394103; 0.0033391421]
Coordinates of the inscribed circle: I[0.00766394103; 0.00442403931]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.5110447078° = 132°30'38″ = 0.82988490588 rad
∠ B' = β' = 114.8769687974° = 114°52'11″ = 1.13767383877 rad
∠ C' = γ' = 112.6219864948° = 112°37'11″ = 1.17660052071 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and height hb. ### 2. From side b we calculate T: 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area using Heron's formula ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle using a Law of Cosines    