# 20 23 25 triangle

### Acute scalene triangle.

Sides: a = 20   b = 23   c = 25

Area: T = 217.0810630181
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 49.03108802499° = 49°1'51″ = 0.85657502955 rad
Angle ∠ B = β = 60.26442868924° = 60°15'51″ = 1.05218102276 rad
Angle ∠ C = γ = 70.70548328576° = 70°42'17″ = 1.23440321304 rad

Height: ha = 21.70880630182
Height: hb = 18.87765765375
Height: hc = 17.36664504145

Median: ma = 21.84403296678
Median: mb = 19.5
Median: mc = 17.55770498661

Inradius: r = 6.38547244171
Circumradius: R = 13.24439269114

Vertex coordinates: A[25; 0] B[0; 0] C[9.92; 17.36664504145]
Centroid: CG[11.64; 5.78988168048]
Coordinates of the circumscribed circle: U[12.5; 4.37662541098]
Coordinates of the inscribed circle: I[11; 6.38547244171]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.969911975° = 130°58'9″ = 0.85657502955 rad
∠ B' = β' = 119.7365713108° = 119°44'9″ = 1.05218102276 rad
∠ C' = γ' = 109.2955167142° = 109°17'43″ = 1.23440321304 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.