# 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 = 56   b = 33   c = 65

Area: T = 924
Perimeter: p = 154
Semiperimeter: s = 77

Angle ∠ A = α = 59.49897625939° = 59°29'23″ = 1.03882922285 rad
Angle ∠ B = β = 30.51102374061° = 30°30'37″ = 0.53325040983 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 33
Height: hb = 56
Height: hc = 28.43107692308

Median: ma = 43.27881700168
Median: mb = 58.38802192528
Median: mc = 32.5

Vertex coordinates: A[65; 0] B[0; 0] C[48.24661538462; 28.43107692308]
Centroid: CG[37.74987179487; 9.47769230769]
Coordinates of the circumscribed circle: U[32.5; -0]
Coordinates of the inscribed circle: I[44; 12]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120.5110237406° = 120°30'37″ = 1.03882922285 rad
∠ B' = β' = 149.4989762594° = 149°29'23″ = 0.53325040983 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   ### 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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