Question

List the angles of the triangle in order from least to greatest. OPTIONS : ∠C,∠B,∠A, ∠B,∠A,∠C, ∠A,∠B,∠C , ∠C,∠A,∠B

Answer 1

Answer:

∠B,∠A,∠C

Step-by-step explanation:

∠B is between the two longest sides so it would be the smallest angle.

∠C is between the two shortest sides so it would be the largest angle.

this leaves ∠A to be in between them.

∠B,∠A,∠C

OR

cosine rule:

∠A = cos -¹ ( [8.8² + 5.1² - 6.8²] / 2[8.8][5.1] )

∠A = 50.404 (5 sig. fig.)

∠B = cos -¹ ( [8.8² + 6.8² - 5.1²] / 2[8.8][6.8] )

∠B = 35.304 (5 sig. fig.)

∠C = cos -¹ ( [6.8² + 5.1² - 8.8²] / 2[6.8][5.1] )

∠C = 94.291 (5 sig. fig.)

∠B,∠A,∠C