Triangle calculator
Right isosceles triangle.
Sides: a = 110 b = 77.78217459305 c = 77.78217459305Area: T = 3025
Perimeter: p = 265.5633491861
Semiperimeter: s = 132.782174593
Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad
Height: ha = 55
Height: hb = 77.78217459305
Height: hc = 77.78217459305
Median: ma = 55
Median: mb = 86.96326356546
Median: mc = 86.96326356546
Inradius: r = 22.78217459305
Circumradius: R = 55
Vertex coordinates: A[77.78217459305; 0] B[0; 0] C[77.78217459305; 77.78217459305]
Centroid: CG[51.8544497287; 25.92772486435]
Coordinates of the circumscribed circle: U[38.89108729653; 38.89108729653]
Coordinates of the inscribed circle: I[55; 22.78217459305]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 135° = 0.78553981634 rad
Calculate another triangle
How did we calculate this triangle?
1. Input data entered: angle α, angle β and height ha.

2. From angle α and angle β we calculate γ:

3. Calculation of the third side a of the triangle using a Law of Cosines

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 using Heron's formula

7. Calculate the heights of the triangle from its area.

8. Calculation of the inner angles of the triangle using a Law of Cosines

9. Inradius

10. Circumradius
