# 7 16 17 triangle

### Acute scalene triangle.

Sides: a = 7   b = 16   c = 17

Area: T = 55.85769601751
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 24.25496286025° = 24°14'59″ = 0.42332358615 rad
Angle ∠ B = β = 69.84664151556° = 69°50'47″ = 1.21990499152 rad
Angle ∠ C = γ = 85.90439562418° = 85°54'14″ = 1.49993068769 rad

Height: ha = 15.95991314786
Height: hb = 6.98221200219
Height: hc = 6.57114070794

Median: ma = 16.13222658049
Median: mb = 10.2476950766
Median: mc = 8.95882364336

Inradius: r = 2.79328480088
Circumradius: R = 8.52217670011

Vertex coordinates: A[17; 0] B[0; 0] C[2.41217647059; 6.57114070794]
Centroid: CG[6.47105882353; 2.19904690265]
Coordinates of the circumscribed circle: U[8.5; 0.60986976429]
Coordinates of the inscribed circle: I[4; 2.79328480088]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.7550371397° = 155°45'1″ = 0.42332358615 rad
∠ B' = β' = 110.1543584844° = 110°9'13″ = 1.21990499152 rad
∠ C' = γ' = 94.09660437582° = 94°5'46″ = 1.49993068769 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.