Question

If m∠A = 72°, m∠B = 32°, and c = 8, what are the measures of the remaining sides and angle? (2 points)

A. m∠C = 76°, a = 3.59, b = 7.79

B. m∠C = 76°, a = 4.37, b =7.84

C. m∠C = 76°, a = 7.84, b = 4.37

D. m∠C = 76°, a = 7.79, b = 3.59

Answer 1

Answer:

D

Sides: a = 7.841   b = 4.369   c = 8

Step-by-step explanation:

Symbols definition of ABC triangle

You have entered side c, angle α, and angle β.

Acute scalene triangle.

Sides: a = 7.841   b = 4.369   c = 8

Area: T = 16.621

Perimeter: p = 20.211

Semiperimeter: s = 10.105

Angle ∠ A = α = 72° = 1.257 rad

Angle ∠ B = β = 32° = 0.559 rad

Angle ∠ C = γ = 76° = 1.326 rad

Height: ha = 4.239

Height: hb = 7.608

Height: hc = 4.155

Median: ma = 5.116

Median: mb = 7.614

Median: mc = 4.928

Inradius: r = 1.645

Circumradius: R = 4.122

Vertex coordinates: A[8; 0] B[0; 0] C[6.65; 4.155]

Centroid: CG[4.883; 1.385]

Coordinates of the circumscribed circle: U[4; 0.997]

Coordinates of the inscribed circle: I[5.736; 1.645]

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

∠ A' = α' = 108° = 1.257 rad

∠ B' = β' = 148° = 0.559 rad

∠ C' = γ' = 104° = 1.326 rad