Right triangle calculator (a,b)

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, cathetus b and angle γ.

Right scalene triangle.

Sides: a = 196   b = 264   c = 328.8043892921

Area: T = 25872
Perimeter: p = 788.8043892921
Semiperimeter: s = 394.4021946461

Angle ∠ A = α = 36.59110882674° = 36°35'28″ = 0.63986349672 rad
Angle ∠ B = β = 53.40989117326° = 53°24'32″ = 0.93221613596 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 264
Height: hb = 196
Height: hc = 157.3770399542

Median: ma = 281.6032556807
Median: mb = 236.3054887804
Median: mc = 164.402194646

Inradius: r = 65.59880535395
Circumradius: R = 164.402194646

Vertex coordinates: A[328.8043892921; 0] B[0; 0] C[116.836559966; 157.3770399542]
Centroid: CG[148.5466497527; 52.45767998474]
Coordinates of the circumscribed circle: U[164.402194646; 0]
Coordinates of the inscribed circle: I[130.402194646; 65.59880535395]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.4098911733° = 143°24'32″ = 0.63986349672 rad
∠ B' = β' = 126.5911088267° = 126°35'28″ = 0.93221613596 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a, cathetus b and angle γ 2. From cathetus a and cathetus b 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. 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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