# 7 10 10 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 10   c = 10

Area: T = 32.78662394916
Perimeter: p = 27
Semiperimeter: s = 13.5

Angle ∠ A = α = 40.97546302294° = 40°58'29″ = 0.71551422073 rad
Angle ∠ B = β = 69.51326848853° = 69°30'46″ = 1.21332252231 rad
Angle ∠ C = γ = 69.51326848853° = 69°30'46″ = 1.21332252231 rad

Height: ha = 9.36774969976
Height: hb = 6.55772478983
Height: hc = 6.55772478983

Median: ma = 9.36774969976
Median: mb = 7.03656236397
Median: mc = 7.03656236397

Inradius: r = 2.42986103327
Circumradius: R = 5.33876051268

Vertex coordinates: A[10; 0] B[0; 0] C[2.45; 6.55772478983]
Centroid: CG[4.15; 2.18657492994]
Coordinates of the circumscribed circle: U[5; 1.86881617944]
Coordinates of the inscribed circle: I[3.5; 2.42986103327]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.0255369771° = 139°1'31″ = 0.71551422073 rad
∠ B' = β' = 110.4877315115° = 110°29'14″ = 1.21332252231 rad
∠ C' = γ' = 110.4877315115° = 110°29'14″ = 1.21332252231 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.