# 40 70 70 triangle

### Acute isosceles triangle.

Sides: a = 40   b = 70   c = 70

Area: T = 1341.64107865
Perimeter: p = 180
Semiperimeter: s = 90

Angle ∠ A = α = 33.2033099198° = 33°12'11″ = 0.58795034029 rad
Angle ∠ B = β = 73.3988450401° = 73°23'54″ = 1.28110446254 rad
Angle ∠ C = γ = 73.3988450401° = 73°23'54″ = 1.28110446254 rad

Height: ha = 67.0822039325
Height: hb = 38.33325939
Height: hc = 38.33325939

Median: ma = 67.0822039325
Median: mb = 45
Median: mc = 45

Inradius: r = 14.907711985
Circumradius: R = 36.52224436325

Vertex coordinates: A[70; 0] B[0; 0] C[11.42985714286; 38.33325939]
Centroid: CG[27.14328571429; 12.77875313]
Coordinates of the circumscribed circle: U[35; 10.4354983895]
Coordinates of the inscribed circle: I[20; 14.907711985]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.7976900802° = 146°47'49″ = 0.58795034029 rad
∠ B' = β' = 106.6021549599° = 106°36'6″ = 1.28110446254 rad
∠ C' = γ' = 106.6021549599° = 106°36'6″ = 1.28110446254 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.