# 23 28 29 triangle

### Acute scalene triangle.

Sides: a = 23   b = 28   c = 29

Area: T = 299.6599732977
Perimeter: p = 80
Semiperimeter: s = 40

Angle ∠ A = α = 47.555541258° = 47°33'19″ = 0.83299985267 rad
Angle ∠ B = β = 63.94220257221° = 63°56'31″ = 1.11659988792 rad
Angle ∠ C = γ = 68.5032561698° = 68°30'9″ = 1.19655952477 rad

Height: ha = 26.05221506937
Height: hb = 21.43999809269
Height: hc = 20.66220505502

Median: ma = 26.08216027115
Median: mb = 22.11333443875
Median: mc = 21.12546301743

Inradius: r = 7.49899933244
Circumradius: R = 15.58441260391

Vertex coordinates: A[29; 0] B[0; 0] C[10.10334482759; 20.66220505502]
Centroid: CG[13.03444827586; 6.88773501834]
Coordinates of the circumscribed circle: U[14.5; 5.71109530205]
Coordinates of the inscribed circle: I[12; 7.49899933244]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.445458742° = 132°26'41″ = 0.83299985267 rad
∠ B' = β' = 116.0587974278° = 116°3'29″ = 1.11659988792 rad
∠ C' = γ' = 111.4977438302° = 111°29'51″ = 1.19655952477 rad

# How did we calculate this triangle?

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. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.