# 5 10 10 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 10   c = 10

Area: T = 24.20661459138
Perimeter: p = 25
Semiperimeter: s = 12.5

Angle ∠ A = α = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ B = β = 75.52224878141° = 75°31'21″ = 1.31881160717 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 9.68224583655
Height: hb = 4.84112291828
Height: hc = 4.84112291828

Median: ma = 9.68224583655
Median: mb = 6.1243724357
Median: mc = 6.1243724357

Inradius: r = 1.93664916731
Circumradius: R = 5.16439777949

Vertex coordinates: A[10; 0] B[0; 0] C[1.25; 4.84112291828]
Centroid: CG[3.75; 1.61437430609]
Coordinates of the circumscribed circle: U[5; 1.29109944487]
Coordinates of the inscribed circle: I[2.5; 1.93664916731]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ B' = β' = 104.4787512186° = 104°28'39″ = 1.31881160717 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.