Right triangle calculator (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 perimeter o.

Right scalene triangle.

Sides: a = 84   b = 18.07769230769   c = 85.92330769231

Area: T = 759.2310769231
Perimeter: p = 188
Semiperimeter: s = 94

Angle ∠ A = α = 77.85550871856° = 77°51'18″ = 1.35988276108 rad
Angle ∠ B = β = 12.14549128144° = 12°8'42″ = 0.2121968716 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 18.07769230769
Height: hb = 84
Height: hc = 17.67223366159

Median: ma = 45.72549947833
Median: mb = 84.48548731252
Median: mc = 42.96215384615

Inradius: r = 8.07769230769
Circumradius: R = 42.96215384615

Vertex coordinates: A[85.92330769231; 0] B[0; 0] C[82.12199641898; 17.67223366159]
Centroid: CG[56.01443470376; 5.8910778872]
Coordinates of the circumscribed circle: U[42.96215384615; -0]
Coordinates of the inscribed circle: I[75.92330769231; 8.07769230769]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 102.1454912814° = 102°8'42″ = 1.35988276108 rad
∠ B' = β' = 167.8555087186° = 167°51'18″ = 0.2121968716 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a and perimeter o 2. From cathetus a and perimeter o we calculate cathetus b: 3. From cathetus a 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area - from two legs 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle - basic use of sine function   11. 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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