# 17 17 22 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 17   c = 22

Area: T = 142.5766295365
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 49.687978493° = 49°40'47″ = 0.86770758187 rad
Angle ∠ B = β = 49.687978493° = 49°40'47″ = 0.86770758187 rad
Angle ∠ C = γ = 80.64404301399° = 80°38'26″ = 1.40774410162 rad

Height: ha = 16.77436818076
Height: hb = 16.77436818076
Height: hc = 12.96114813968

Median: ma = 17.72770979012
Median: mb = 17.72770979012
Median: mc = 12.96114813968

Inradius: r = 5.09220105487
Circumradius: R = 11.14884170348

Vertex coordinates: A[22; 0] B[0; 0] C[11; 12.96114813968]
Centroid: CG[11; 4.32204937989]
Coordinates of the circumscribed circle: U[11; 1.81330643621]
Coordinates of the inscribed circle: I[11; 5.09220105487]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.322021507° = 130°19'13″ = 0.86770758187 rad
∠ B' = β' = 130.322021507° = 130°19'13″ = 0.86770758187 rad
∠ C' = γ' = 99.36595698601° = 99°21'34″ = 1.40774410162 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.