# 16 25 29 triangle

### Acute scalene triangle.

Sides: a = 16   b = 25   c = 29

Area: T = 199.7549843554
Perimeter: p = 70
Semiperimeter: s = 35

Angle ∠ A = α = 33.43879821579° = 33°26'17″ = 0.58436028839 rad
Angle ∠ B = β = 59.42880018247° = 59°25'41″ = 1.03772142997 rad
Angle ∠ C = γ = 87.13440160174° = 87°8'2″ = 1.521077547 rad

Height: ha = 24.96987304443
Height: hb = 15.98799874844
Height: hc = 13.77658512796

Median: ma = 25.86550343128
Median: mb = 19.80553023203
Median: mc = 15.17439909055

Inradius: r = 5.70771383873
Circumradius: R = 14.51881590553

Vertex coordinates: A[29; 0] B[0; 0] C[8.13879310345; 13.77658512796]
Centroid: CG[12.37993103448; 4.59219504265]
Coordinates of the circumscribed circle: U[14.5; 0.72659079528]
Coordinates of the inscribed circle: I[10; 5.70771383873]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.5622017842° = 146°33'43″ = 0.58436028839 rad
∠ B' = β' = 120.5721998175° = 120°34'19″ = 1.03772142997 rad
∠ C' = γ' = 92.86659839826° = 92°51'58″ = 1.521077547 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    