# Right triangle calculator (a,c)

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 hypotenuse c.

### Right scalene triangle.

Sides: a = 84   b = 80   c = 116

Area: T = 3360
Perimeter: p = 280
Semiperimeter: s = 140

Angle ∠ A = α = 46.39771810273° = 46°23'50″ = 0.81097835726 rad
Angle ∠ B = β = 43.60328189727° = 43°36'10″ = 0.76110127542 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 80
Height: hb = 84
Height: hc = 57.93110344828

Median: ma = 90.35548559846
Median: mb = 93.03876267969
Median: mc = 58

Inradius: r = 24
Circumradius: R = 58

Vertex coordinates: A[116; 0] B[0; 0] C[60.82875862069; 57.93110344828]
Centroid: CG[58.94325287356; 19.31103448276]
Coordinates of the circumscribed circle: U[58; 0]
Coordinates of the inscribed circle: I[60; 24]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.6032818973° = 133°36'10″ = 0.81097835726 rad
∠ B' = β' = 136.3977181027° = 136°23'50″ = 0.76110127542 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and hypotenuse c ### 2. From cathetus a and hypotenuse c we calculate cathetus b - 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 ### 8. Inradius ### 9. Circumradius ### 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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