# 10 29 30 triangle

### Acute scalene triangle.

Sides: a = 10   b = 29   c = 30

Area: T = 144.6377261797
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 19.42105524779° = 19°25'14″ = 0.33989525833 rad
Angle ∠ B = β = 74.63330472022° = 74°37'59″ = 1.30325924045 rad
Angle ∠ C = γ = 85.94664003198° = 85°56'47″ = 1.55000476658 rad

Height: ha = 28.92774523593
Height: hb = 9.97549835722
Height: hc = 9.64224841198

Median: ma = 29.07774826971
Median: mb = 17.02220445305
Median: mc = 15.6688439616

Inradius: r = 4.19223843999
Circumradius: R = 15.03876187504

Vertex coordinates: A[30; 0] B[0; 0] C[2.65; 9.64224841198]
Centroid: CG[10.88333333333; 3.21441613733]
Coordinates of the circumscribed circle: U[15; 1.06330040841]
Coordinates of the inscribed circle: I[5.5; 4.19223843999]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.5799447522° = 160°34'46″ = 0.33989525833 rad
∠ B' = β' = 105.3676952798° = 105°22'1″ = 1.30325924045 rad
∠ C' = γ' = 94.05435996802° = 94°3'13″ = 1.55000476658 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.