# Right triangle calculator (B,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 b and angle β.

### Right scalene triangle.

Sides: a = 375.6222486979   b = 517   c = 639.0477144367

Area: T = 97098.4132884
Perimeter: p = 1531.676963135
Semiperimeter: s = 765.8354815673

Angle ∠ A = α = 36° = 0.62883185307 rad
Angle ∠ B = β = 54° = 0.94224777961 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 517
Height: hb = 375.6222486979
Height: hc = 303.8854975435

Median: ma = 550.056641818
Median: mb = 455.9766427816
Median: mc = 319.5243572184

Inradius: r = 126.7887671306
Circumradius: R = 319.5243572184

Vertex coordinates: A[639.0477144367; 0] B[0; 0] C[220.7855358275; 303.8854975435]
Centroid: CG[286.6110834214; 101.2954991812]
Coordinates of the circumscribed circle: U[319.5243572184; -0]
Coordinates of the inscribed circle: I[248.8354815673; 126.7887671306]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144° = 0.62883185307 rad
∠ B' = β' = 126° = 0.94224777961 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus b and angle β ### 2. From angle β we calculate angle α: ### 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 ### 10. Inradius ### 11. Circumradius ### 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.

Calculate right triangle by:

#### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.