# Right triangle calculator (a,b,c)

Please enter two properties of the right triangle

Use symbols: a, b, c, A, B, h, T, p, r, R

You have entered side a, b and c.

### Obtuse scalene triangle.

Sides: a = 4.8   b = 10.1   c = 11.55

Area: T = 24.15498930429
Perimeter: p = 26.45
Semiperimeter: s = 13.225

Angle ∠ A = α = 24.45988482092° = 24°27'32″ = 0.42768874325 rad
Angle ∠ B = β = 60.59993524269° = 60°35'58″ = 1.05876582244 rad
Angle ∠ C = γ = 94.94217993639° = 94°56'30″ = 1.65770469967 rad

Height: ha = 10.06224554345
Height: hb = 4.78221570382
Height: hc = 4.18217996611

Median: ma = 10.58804654907
Median: mb = 7.26107678657
Median: mc = 5.40113308545

Vertex coordinates: A[11.55; 0] B[0; 0] C[2.35663852814; 4.18217996611]
Centroid: CG[4.63554617605; 1.39439332204]
Coordinates of the circumscribed circle: U[5.775; -0.49993364506]
Coordinates of the inscribed circle: I[3.125; 1.8266078869]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.5411151791° = 155°32'28″ = 0.42768874325 rad
∠ B' = β' = 119.4010647573° = 119°24'2″ = 1.05876582244 rad
∠ C' = γ' = 85.05882006361° = 85°3'30″ = 1.65770469967 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and c 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 - from two legs ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle - basic use of sine function   ### 9. Calculation of medians Trigonometry right triangle solver. You can calculate angles, sides (adjacent, opposite, hypotenuse) and area of any right-angled triangle and use it in real world to find height. A right-angled triangle is entirely determined by two independent properties. Step-by-step explanations are provided for each calculation.

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