# 14 18 20 triangle

### Acute scalene triangle.

**Sides:**a = 14 b = 18 c = 20

**Area:**T = 122.3766468326

**Perimeter:**p = 52

**Semiperimeter:**s = 26

**Angle**∠ A = α = 42.83334280661° = 42°50' = 0.74875843497 rad

**Angle**∠ B = β = 60.9410718932° = 60°56'27″ = 1.06436161939 rad

**Angle**∠ C = γ = 76.2265853002° = 76°13'33″ = 1.333039211 rad

**Height:**h

_{a}= 17.4822352618

**Height:**h

_{b}= 13.59773853696

**Height:**h

_{c}= 12.23876468326

**Median:**m

_{a}= 17.6921806013

**Median:**m

_{b}= 14.73109198627

**Median:**m

_{c}= 12.64991106407

**Inradius:**r = 4.70767872433

**Circumradius:**R = 10.29660970948

**Vertex coordinates:**A[20; 0] B[0; 0] C[6.8; 12.23876468326]

**Centroid:**CG[8.93333333333; 4.07992156109]

**Coordinates of the circumscribed circle:**U[10; 2.45114516892]

**Coordinates of the inscribed circle:**I[8; 4.70767872433]

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

∠ A' = α' = 137.1676571934° = 137°10' = 0.74875843497 rad

∠ B' = β' = 119.0599281068° = 119°3'33″ = 1.06436161939 rad

∠ C' = γ' = 103.7744146998° = 103°46'27″ = 1.333039211 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