# 10 16 18 triangle

### Acute scalene triangle.

Sides: a = 10   b = 16   c = 18

Area: T = 79.59989949685
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 33.55773097619° = 33°33'26″ = 0.58656855435 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 84.26108295227° = 84°15'39″ = 1.47106289056 rad

Height: ha = 15.92197989937
Height: hb = 9.95498743711
Height: hc = 8.84443327743

Median: ma = 16.27988205961
Median: mb = 12.16655250606
Median: mc = 9.84988578018

Inradius: r = 3.61881361349
Circumradius: R = 9.04553403373

Vertex coordinates: A[18; 0] B[0; 0] C[4.66766666667; 8.84443327743]
Centroid: CG[7.55655555556; 2.94881109248]
Coordinates of the circumscribed circle: U[9; 0.90545340337]
Coordinates of the inscribed circle: I[6; 3.61881361349]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.4432690238° = 146°26'34″ = 0.58656855435 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 95.73991704773° = 95°44'21″ = 1.47106289056 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.