# 7 7 10 triangle

### Obtuse isosceles triangle.

Sides: a = 7   b = 7   c = 10

Area: T = 24.49548974278
Perimeter: p = 24
Semiperimeter: s = 12

Angle ∠ A = α = 44.41553085972° = 44°24'55″ = 0.77551933733 rad
Angle ∠ B = β = 44.41553085972° = 44°24'55″ = 0.77551933733 rad
Angle ∠ C = γ = 91.16993828056° = 91°10'10″ = 1.5911205907 rad

Height: ha = 6.99985421222
Height: hb = 6.99985421222
Height: hc = 4.89989794856

Median: ma = 7.8989866919
Median: mb = 7.8989866919
Median: mc = 4.89989794856

Inradius: r = 2.04112414523
Circumradius: R = 5.00110415582

Vertex coordinates: A[10; 0] B[0; 0] C[5; 4.89989794856]
Centroid: CG[5; 1.63329931619]
Coordinates of the circumscribed circle: U[5; -0.10220620726]
Coordinates of the inscribed circle: I[5; 2.04112414523]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.5854691403° = 135°35'5″ = 0.77551933733 rad
∠ B' = β' = 135.5854691403° = 135°35'5″ = 0.77551933733 rad
∠ C' = γ' = 88.83106171944° = 88°49'50″ = 1.5911205907 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.