Right triangle calculator

Please enter two properties of the right triangle

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

You have entered cathetus b and angle α.

Right scalene triangle.

Sides: a = 4.12112161292   b = 1.5   c = 4.38657066002

Area: T = 3.09109120969
Perimeter: p = 10.00769227294
Semiperimeter: s = 5.00334613647

Angle ∠ A = α = 70° = 1.22217304764 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1.5
Height: hb = 4.12112161292
Height: hc = 1.41095389312

Median: ma = 2.54987458869
Median: mb = 4.18989046759
Median: mc = 2.19328533001

Inradius: r = 0.61877547645
Circumradius: R = 2.19328533001

Vertex coordinates: A[4.38657066002; 0] B[0; 0] C[3.87326763853; 1.41095389312]
Centroid: CG[2.75327943285; 0.47698463104]
Coordinates of the circumscribed circle: U[2.19328533001; 0]
Coordinates of the inscribed circle: I[3.50334613647; 0.61877547645]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 110° = 1.22217304764 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus b and angle α 2. From angle α we calculate angle β: 3. From cathetus b and angle α we calculate hypotenuse c: 4. From hypotenuse c and angle α we calculate cathetus a: 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. 5. The triangle circumference is the sum of the lengths of its three sides 6. Semiperimeter of the triangle 7. The triangle area - from two legs 8. Calculate the heights of the triangle from its area. 9. Calculation of the inner angles of the triangle - basic use of sine function   12. 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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