# 1 11 11 triangle

### Acute isosceles triangle.

**Sides:**a = 1 b = 11 c = 11

**Area:**T = 5.4944315244

**Perimeter:**p = 23

**Semiperimeter:**s = 11.5

**Angle**∠ A = α = 5.21105025301° = 5°12'38″ = 0.09109404248 rad

**Angle**∠ B = β = 87.39547487349° = 87°23'41″ = 1.52553261144 rad

**Angle**∠ C = γ = 87.39547487349° = 87°23'41″ = 1.52553261144 rad

**Height:**h

_{a}= 10.98986304879

**Height:**h

_{b}= 0.9998966408

**Height:**h

_{c}= 0.9998966408

**Median:**m

_{a}= 10.98986304879

**Median:**m

_{b}= 5.54552682532

**Median:**m

_{c}= 5.54552682532

**Inradius:**r = 0.4787766543

**Circumradius:**R = 5.50656906378

**Vertex coordinates:**A[11; 0] B[0; 0] C[0.04554545455; 0.9998966408]

**Centroid:**CG[3.68218181818; 0.33329888027]

**Coordinates of the circumscribed circle:**U[5.5; 0.25502586654]

**Coordinates of the inscribed circle:**I[0.5; 0.4787766543]

**Exterior(or external, outer) angles of the triangle:**

∠ A' = α' = 174.789949747° = 174°47'22″ = 0.09109404248 rad

∠ B' = β' = 92.60552512651° = 92°36'19″ = 1.52553261144 rad

∠ C' = γ' = 92.60552512651° = 92°36'19″ = 1.52553261144 rad

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# 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

Calculate another triangle