# 8 18 19 triangle

### Acute scalene triangle.

**Sides:**a = 8 b = 18 c = 19

**Area:**T = 71.68328954493

**Perimeter:**p = 45

**Semiperimeter:**s = 22.5

**Angle**∠ A = α = 24.7843978051° = 24°47'2″ = 0.43325620187 rad

**Angle**∠ B = β = 70.59554009401° = 70°35'43″ = 1.23221221832 rad

**Angle**∠ C = γ = 84.62106210089° = 84°37'14″ = 1.47769084517 rad

**Height:**h

_{a}= 17.92107238623

**Height:**h

_{b}= 7.9654766161

**Height:**h

_{c}= 7.5465567942

**Median:**m

_{a}= 18.06993109996

**Median:**m

_{b}= 11.46773449412

**Median:**m

_{c}= 10.18657743937

**Inradius:**r = 3.18659064644

**Circumradius:**R = 9.54220252727

**Vertex coordinates:**A[19; 0] B[0; 0] C[2.65878947368; 7.5465567942]

**Centroid:**CG[7.21992982456; 2.5155189314]

**Coordinates of the circumscribed circle:**U[9.5; 0.89545648693]

**Coordinates of the inscribed circle:**I[4.5; 3.18659064644]

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

∠ A' = α' = 155.2166021949° = 155°12'58″ = 0.43325620187 rad

∠ B' = β' = 109.405459906° = 109°24'17″ = 1.23221221832 rad

∠ C' = γ' = 95.37993789911° = 95°22'46″ = 1.47769084517 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