# Right triangle calculator (c,p)

Please enter two properties of the right triangle

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

You have entered hypotenuse c and perimeter p.

### Right scalene Pythagorean triangle.

Sides: a = 33   b = 44   c = 55

Area: T = 726
Perimeter: p = 132
Semiperimeter: s = 66

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 44
Height: hb = 33
Height: hc = 26.4

Median: ma = 46.99220205992
Median: mb = 39.66110640301
Median: mc = 27.5

Inradius: r = 11
Circumradius: R = 27.5

Vertex coordinates: A[55; 0] B[0; 0] C[19.8; 26.4]
Centroid: CG[24.93333333333; 8.8]
Coordinates of the circumscribed circle: U[27.5; 0]
Coordinates of the inscribed circle: I[22; 11]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: hypotenuse c and perimeter p ### 2. From hypotenuse c we calculate cathetus a - 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area - from two legs ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle - basic use of sine function   ### 10. 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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