# Right triangle calculator (a)

Please enter two properties of the right triangle

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

You have entered cathetus a and perimeter o.

### Right scalene triangle.

Sides: a = 84   b = 73.43297297297   c = 111.577027027

Area: T = 3084.049864865
Perimeter: p = 269
Semiperimeter: s = 134.5

Angle ∠ A = α = 48.84112327573° = 48°50'28″ = 0.85224403223 rad
Angle ∠ B = β = 41.15987672427° = 41°9'32″ = 0.71883560044 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 73.43297297297
Height: hb = 84
Height: hc = 55.28444165597

Median: ma = 84.59327018612
Median: mb = 91.67332311094
Median: mc = 55.78551351351

Inradius: r = 22.93297297297
Circumradius: R = 55.78551351351

Vertex coordinates: A[111.577027027; 0] B[0; 0] C[63.24326540055; 55.28444165597]
Centroid: CG[58.27109747586; 18.42881388532]
Coordinates of the circumscribed circle: U[55.78551351351; 0]
Coordinates of the inscribed circle: I[61.07702702703; 22.93297297297]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.1598767243° = 131°9'32″ = 0.85224403223 rad
∠ B' = β' = 138.8411232757° = 138°50'28″ = 0.71883560044 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and perimeter o ### 2. From cathetus a and perimeter o we calculate cathetus b: ### 3. From cathetus a we calculate hypotenuse c - Pythagorean theorem: 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area - from two legs ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle - basic use of sine function   ### 11. 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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