Find area of triangle by this method of 3 ,5,7 sides
Answers
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
3+5+7
2
=8+7
2
=15÷2
7.5
Answer is 7.5