Right triangle calculator (a,c)

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 hypotenuse c.

Right scalene triangle.

Sides: a = 60   b = 60.2087972894   c = 85

Area: T = 1806.239918682
Perimeter: p = 205.2087972894
Semiperimeter: s = 102.6043986447

Angle ∠ A = α = 44.9010872156° = 44°54'3″ = 0.78436680561 rad
Angle ∠ B = β = 45.0999127844° = 45°5'57″ = 0.78771282707 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 60.2087972894
Height: hb = 60
Height: hc = 42.54997455722

Median: ma = 67.26881202354
Median: mb = 67.12986079105
Median: mc = 42.5

Inradius: r = 17.6043986447
Circumradius: R = 42.5

Vertex coordinates: A[85; 0] B[0; 0] C[42.35329411765; 42.54997455722]
Centroid: CG[42.45109803922; 14.16765818574]
Coordinates of the circumscribed circle: U[42.5; -0]
Coordinates of the inscribed circle: I[42.3966013553; 17.6043986447]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.0999127844° = 135°5'57″ = 0.78436680561 rad
∠ B' = β' = 134.9010872156° = 134°54'3″ = 0.78771282707 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a and hypotenuse c 2. 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. 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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