# 7 8 10 triangle

### Acute scalene triangle.

Sides: a = 7   b = 8   c = 10

Area: T = 27.81107443266
Perimeter: p = 25
Semiperimeter: s = 12.5

Angle ∠ A = α = 44.04986256741° = 44°2'55″ = 0.7698793549 rad
Angle ∠ B = β = 52.61768015821° = 52°37' = 0.91883364295 rad
Angle ∠ C = γ = 83.33545727438° = 83°20'4″ = 1.45444626751 rad

Height: ha = 7.94659269505
Height: hb = 6.95326860817
Height: hc = 5.56221488653

Median: ma = 8.35216465442
Median: mb = 7.64985292704
Median: mc = 5.61224860802

Inradius: r = 2.22548595461
Circumradius: R = 5.03440256397

Vertex coordinates: A[10; 0] B[0; 0] C[4.25; 5.56221488653]
Centroid: CG[4.75; 1.85440496218]
Coordinates of the circumscribed circle: U[5; 0.58443065475]
Coordinates of the inscribed circle: I[4.5; 2.22548595461]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.9511374326° = 135°57'5″ = 0.7698793549 rad
∠ B' = β' = 127.3833198418° = 127°23' = 0.91883364295 rad
∠ C' = γ' = 96.66554272562° = 96°39'56″ = 1.45444626751 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.