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 and cathetus b.

Right scalene triangle.

Sides: a = 164   b = 68   c = 177.5398728169

Area: T = 5576
Perimeter: p = 409.5398728169
Semiperimeter: s = 204.7699364085

Angle ∠ A = α = 67.47994343971° = 67°28'46″ = 1.17877383076 rad
Angle ∠ B = β = 22.52105656029° = 22°31'14″ = 0.39330580192 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 68
Height: hb = 164
Height: hc = 62.81444637229

Median: ma = 106.5276991885
Median: mb = 167.4877312952
Median: mc = 88.76993640847

Inradius: r = 27.23106359153
Circumradius: R = 88.76993640847

Vertex coordinates: A[177.5398728169; 0] B[0; 0] C[151.4943706626; 62.81444637229]
Centroid: CG[109.6777478265; 20.93881545743]
Coordinates of the circumscribed circle: U[88.76993640847; 0]
Coordinates of the inscribed circle: I[136.7699364085; 27.23106359153]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5210565603° = 112°31'14″ = 1.17877383076 rad
∠ B' = β' = 157.4799434397° = 157°28'46″ = 0.39330580192 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a and cathetus b 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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