# 8 15 16 triangle

### Acute scalene triangle.

Sides: a = 8   b = 15   c = 16

Area: T = 59.4330106007
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 29.68662952314° = 29°41'11″ = 0.51881235945 rad
Angle ∠ B = β = 68.21769125021° = 68°13'1″ = 1.19106097287 rad
Angle ∠ C = γ = 82.09767922665° = 82°5'48″ = 1.43328593304 rad

Height: ha = 14.85875265017
Height: hb = 7.92440141343
Height: hc = 7.42987632509

Median: ma = 14.98333240638
Median: mb = 10.18657743937
Median: mc = 8.97221792225

Inradius: r = 3.04876977439
Circumradius: R = 8.07767145181

Vertex coordinates: A[16; 0] B[0; 0] C[2.969875; 7.42987632509]
Centroid: CG[6.32329166667; 2.4766254417]
Coordinates of the circumscribed circle: U[8; 1.11105482462]
Coordinates of the inscribed circle: I[4.5; 3.04876977439]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.3143704769° = 150°18'49″ = 0.51881235945 rad
∠ B' = β' = 111.7833087498° = 111°46'59″ = 1.19106097287 rad
∠ C' = γ' = 97.90332077335° = 97°54'12″ = 1.43328593304 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.