# 7 24 25 triangle

### Right scalene triangle.

Sides: a = 7   b = 24   c = 25

Area: T = 84
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 16.26602047083° = 16°15'37″ = 0.28437941092 rad
Angle ∠ B = β = 73.74397952917° = 73°44'23″ = 1.28770022176 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 24
Height: hb = 7
Height: hc = 6.72

Median: ma = 24.25438656713
Median: mb = 13.89224439894
Median: mc = 12.5

Inradius: r = 3
Circumradius: R = 12.5

Vertex coordinates: A[25; 0] B[0; 0] C[1.96; 6.72]
Centroid: CG[8.98766666667; 2.24]
Coordinates of the circumscribed circle: U[12.5; -0]
Coordinates of the inscribed circle: I[4; 3]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.7439795292° = 163°44'23″ = 0.28437941092 rad
∠ B' = β' = 106.2660204708° = 106°15'37″ = 1.28770022176 rad
∠ C' = γ' = 90° = 1.57107963268 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    