Right triangle calculator (B,a)

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 angle β.

Right scalene triangle.

Sides: a = 450   b = 499.7765631673   c = 672.5144447439

Area: T = 112449.5177126
Perimeter: p = 1622.299007911
Semiperimeter: s = 811.1455039556

Angle ∠ A = α = 42° = 0.73330382858 rad
Angle ∠ B = β = 48° = 0.8387758041 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 499.7765631673
Height: hb = 450
Height: hc = 334.4155171465

Median: ma = 548.0888206418
Median: mb = 514.7277034945
Median: mc = 336.257722372

Inradius: r = 138.6310592117
Circumradius: R = 336.257722372

Vertex coordinates: A[672.5144447439; 0] B[0; 0] C[301.1098772861; 334.4155171465]
Centroid: CG[324.5411073434; 111.4721723822]
Coordinates of the circumscribed circle: U[336.257722372; -0]
Coordinates of the inscribed circle: I[311.3699407883; 138.6310592117]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138° = 0.73330382858 rad
∠ B' = β' = 132° = 0.8387758041 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a and angle β 2. From angle β we calculate angle α: 3. From cathetus a and angle α we calculate hypotenuse c: 4. 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. 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.

Calculate right triangle by:

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

See more information about triangles or more details on solving triangles.