Question

Find area of triangle by this method of 3 ,5,7 sides​

Answer 1

Step-by-step explanation:

Obtuse scalene triangle.

Sides: a = 3   b = 5   c = 7

Area: T = 6.495

Perimeter: p = 15

Semiperimeter: s = 7.5

Angle ∠ A = α = 21.787° = 21°47'12″ = 0.38 rad

Angle ∠ B = β = 38.213° = 38°12'48″ = 0.667 rad

Angle ∠ C = γ = 120° = 2.094 rad

Height: ha = 4.33

Height: hb = 2.598

Height: hc = 1.856

Median: ma = 5.895

Median: mb = 4.77

Median: mc = 2.179

Inradius: r = 0.866

Circumradius: R = 4.041

Vertex coordinates: A[7; 0] B[0; 0] C[2.357; 1.856]

Centroid: CG[3.119; 0.619]

Coordinates of the circumscribed circle: U[3.5; -2.021]

Coordinates of the inscribed circle: I[2.5; 0.866]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 158.213° = 158°12'48″ = 0.38 rad

∠ B' = β' = 141.787° = 141°47'12″ = 0.667 rad

∠ C' = γ' = 60° = 2.094 rad

Answer 2

3+5+7

2

=8+7

2

=15÷2

7.5

Answer is 7.5