A triangle has sides a = 2 ft. b = 9 in., and c = 55 cm

Question

A triangle has sides a = 2 ft. b = 9 in., and c = 55 cm

Compute angle A

Compute angle B.

Compute angle C

Compute the area of a triangle in in³

Answer 1

Using the law of cosines, you can determine that

m∠A ≈ 93.84°

m∠B ≈ 21.97°

and

m∠C ≈ 64.18°

These are the formulas you need:

cos A = [b² + c² – a²]/2bc

cos B = [a² + c² – b²]/2ac

cos C = [b² + a² – c²]/2ab

Answer 2

a = 24 in

b = 9 in

c = 21.6535 in

Can you calculate using Herron's Formula and answer?