# 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.

### Acute scalene triangle.

Sides: a = 3.6   b = 9.8   c = 10.2

Area: T = 17.59663632606
Perimeter: p = 23.6
Semiperimeter: s = 11.8

Angle ∠ A = α = 20.61438611676° = 20°36'50″ = 0.36597797489 rad
Angle ∠ B = β = 73.41770576716° = 73°25'1″ = 1.28113693835 rad
Angle ∠ C = γ = 85.96990811608° = 85°58'9″ = 1.55004435212 rad

Height: ha = 9.7765757367
Height: hb = 3.5911094543
Height: hc = 3.4550267306

Median: ma = 9.8398699101
Median: mb = 5.8732818744
Median: mc = 5.3387602458

Inradius: r = 1.49112172255
Circumradius: R = 5.11326473503

Vertex coordinates: A[10.2; 0] B[0; 0] C[1.02774509804; 3.4550267306]
Centroid: CG[3.74224836601; 1.1550089102]
Coordinates of the circumscribed circle: U[5.1; 0.35993924441]
Coordinates of the inscribed circle: I[2; 1.49112172255]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.3866138832° = 159°23'10″ = 0.36597797489 rad
∠ B' = β' = 106.5832942328° = 106°34'59″ = 1.28113693835 rad
∠ C' = γ' = 94.03109188392° = 94°1'51″ = 1.55004435212 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 ### 7. Inradius ### 8. Circumradius ### 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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