# 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 = 55   b = 48   c = 73

Area: T = 1320
Perimeter: p = 176
Semiperimeter: s = 88

Angle ∠ A = α = 48.88879095608° = 48°53'16″ = 0.85332549863 rad
Angle ∠ B = β = 41.11220904392° = 41°6'44″ = 0.71875413405 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 48
Height: hb = 55
Height: hc = 36.16443835616

Median: ma = 55.32195263899
Median: mb = 60.00883327547
Median: mc = 36.5

Inradius: r = 15
Circumradius: R = 36.5

Vertex coordinates: A[73; 0] B[0; 0] C[41.43883561644; 36.16443835616]
Centroid: CG[38.14661187215; 12.05547945205]
Coordinates of the circumscribed circle: U[36.5; 0]
Coordinates of the inscribed circle: I[40; 15]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.1122090439° = 131°6'44″ = 0.85332549863 rad
∠ B' = β' = 138.8887909561° = 138°53'16″ = 0.71875413405 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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