# 3 10 10 triangle

### Acute isosceles triangle.

Sides: a = 3   b = 10   c = 10

Area: T = 14.833028995
Perimeter: p = 23
Semiperimeter: s = 11.5

Angle ∠ A = α = 17.25438531174° = 17°15'14″ = 0.30111365456 rad
Angle ∠ B = β = 81.37330734413° = 81°22'23″ = 1.4220228054 rad
Angle ∠ C = γ = 81.37330734413° = 81°22'23″ = 1.4220228054 rad

Height: ha = 9.88768599666
Height: hb = 2.966605799
Height: hc = 2.966605799

Median: ma = 9.88768599666
Median: mb = 5.43113902456
Median: mc = 5.43113902456

Inradius: r = 1.29895904304
Circumradius: R = 5.05772173742

Vertex coordinates: A[10; 0] B[0; 0] C[0.45; 2.966605799]
Centroid: CG[3.48333333333; 0.98986859967]
Coordinates of the circumscribed circle: U[5; 0.75985826061]
Coordinates of the inscribed circle: I[1.5; 1.29895904304]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.7466146883° = 162°44'46″ = 0.30111365456 rad
∠ B' = β' = 98.62769265587° = 98°37'37″ = 1.4220228054 rad
∠ C' = γ' = 98.62769265587° = 98°37'37″ = 1.4220228054 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.