# 7 21 21 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 21   c = 21

Area: T = 72.4721977343
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 19.18881364537° = 19°11'17″ = 0.33548961584 rad
Angle ∠ B = β = 80.40659317731° = 80°24'21″ = 1.40333482476 rad
Angle ∠ C = γ = 80.40659317731° = 80°24'21″ = 1.40333482476 rad

Height: ha = 20.70662792408
Height: hb = 6.90220930803
Height: hc = 6.90220930803

Median: ma = 20.70662792408
Median: mb = 11.60881867662
Median: mc = 11.60881867662

Inradius: r = 2.95880398915
Circumradius: R = 10.64989436096

Vertex coordinates: A[21; 0] B[0; 0] C[1.16766666667; 6.90220930803]
Centroid: CG[7.38988888889; 2.30106976934]
Coordinates of the circumscribed circle: U[10.5; 1.77548239349]
Coordinates of the inscribed circle: I[3.5; 2.95880398915]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.8121863546° = 160°48'43″ = 0.33548961584 rad
∠ B' = β' = 99.59440682269° = 99°35'39″ = 1.40333482476 rad
∠ C' = γ' = 99.59440682269° = 99°35'39″ = 1.40333482476 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.