# 24 29 30 triangle

### Acute scalene triangle.

**Sides:**a = 24 b = 29 c = 30

**Area:**T = 323.1077470511

**Perimeter:**p = 83

**Semiperimeter:**s = 41.5

**Angle**∠ A = α = 47.9688410562° = 47°58'6″ = 0.83772067013 rad

**Angle**∠ B = β = 63.83440707981° = 63°50'3″ = 1.11441147104 rad

**Angle**∠ C = γ = 68.19875186399° = 68°11'51″ = 1.1990271242 rad

**Height:**h

_{a}= 26.92656225426

**Height:**h

_{b}= 22.28332738283

**Height:**h

_{c}= 21.54404980341

**Median:**m

_{a}= 26.95436639439

**Median:**m

_{b}= 22.97328100153

**Median:**m

_{c}= 21.98986334273

**Inradius:**r = 7.7865722181

**Circumradius:**R = 16.15656153182

**Vertex coordinates:**A[30; 0] B[0; 0] C[10.58333333333; 21.54404980341]

**Centroid:**CG[13.52877777778; 7.18801660114]

**Coordinates of the circumscribed circle:**U[15; 66.0003255169]

**Coordinates of the inscribed circle:**I[12.5; 7.7865722181]

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

∠ A' = α' = 132.0321589438° = 132°1'54″ = 0.83772067013 rad

∠ B' = β' = 116.1665929202° = 116°9'57″ = 1.11441147104 rad

∠ C' = γ' = 111.802248136° = 111°48'9″ = 1.1990271242 rad

Calculate another triangle

# 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