y = 5x, so 5 is the constant of proportionality
Answer:
Acute scalene triangle.
Step-by-step explanation:
Acute scalene triangle.
Sides: a = 4 b = 7 c = 8
Area: T = 13.998
Perimeter: p = 19
Semiperimeter: s = 9.5
Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad
Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad
Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad
Height: ha = 6.999
Height: hb = 3.999
Height: hc = 3.499
Median: ma = 7.246
Median: mb = 5.268
Median: mc = 4.062
Inradius: r = 1.473
Circumradius: R = 4.001
Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]
Centroid: CG[3.313; 1.166]
Coordinates of the circumscribed circle: U[4; 0.071]
Coordinates of the inscribed circle: I[2.5; 1.473]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 150.005° = 150°19″ = 0.524 rad
∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad
∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad
Answer:
Smallest angle = 40
Step-by-step explanation:
Angle sum property:Sum of all three angles of triangle is 180
2x - 6 + 3x + 5 + 2x + 20 = 180 {Combine like terms}
2x + 3x + 2x - 6 + 5 + 20 = 180
7x + 19 = 180 {Subtract 19 from both sides}
7x = 180 - 19
7x = 161 {Divide both sides by 7}
x = 161/7
x = 23
2x - 6 = 2*23 - 6 = 46 - 6 = 40
3x + 5 = 3*23 + 5 = 69 + 5 = 74
2x + 20 = 2*23 + 20 = 46 + 20 = 66
Smallest angle = 40
