# 5 8 10 triangle

### Obtuse scalene triangle.

Sides: a = 5   b = 8   c = 10

Area: T = 19.81100353357
Perimeter: p = 23
Semiperimeter: s = 11.5

Angle ∠ A = α = 29.68662952314° = 29°41'11″ = 0.51881235945 rad
Angle ∠ B = β = 52.41104970351° = 52°24'38″ = 0.91547357359 rad
Angle ∠ C = γ = 97.90332077335° = 97°54'12″ = 1.70987333232 rad

Height: ha = 7.92440141343
Height: hb = 4.95325088339
Height: hc = 3.96220070671

Median: ma = 8.70334475928
Median: mb = 6.81990908485
Median: mc = 4.41658804332

Inradius: r = 1.72326117683
Circumradius: R = 5.04879465738

Vertex coordinates: A[10; 0] B[0; 0] C[3.05; 3.96220070671]
Centroid: CG[4.35; 1.32106690224]
Coordinates of the circumscribed circle: U[5; -0.69440926539]
Coordinates of the inscribed circle: I[3.5; 1.72326117683]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.3143704769° = 150°18'49″ = 0.51881235945 rad
∠ B' = β' = 127.5989502965° = 127°35'22″ = 0.91547357359 rad
∠ C' = γ' = 82.09767922665° = 82°5'48″ = 1.70987333232 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.