Question

NO LINKS!! URGENT HELP PLEASE!!!

For 17-18, order the sides from least to greatest
For 19-20, order the sides from greatest to least

Answer 1

17. AB < AC < BC

18. RS < RT < ST

19. LN > MN > LM

20. HJ > JK > HK

Explanation:

In a triangle:

• The longest side is opposite the largest angle.
• The shortest side is opposite the smallest angle.
• The interior angles sum to 180°.

Question 17

Calculate the missing angle:

⇒ m∠A + m∠B + m∠C = 180°

⇒ 92° + 51° + m∠C = 180°

⇒ m∠C = 37°

Therefore, the angles from least to greatest are:

• ∠C < ∠B < ∠A

So the sides from least to greatest are:

• AB < AC < BC

Question 18

Calculate the missing angle:

⇒ m∠R + m∠S + m∠T = 180°

⇒ m∠R + 60° + 57° = 180°

⇒ m∠R = 63°

Therefore, the angles from least to greatest are:

• ∠T < ∠S < ∠R

So the sides from least to greatest are:

• RS < RT < ST

Question 19

Calculate the missing angle:

⇒ m∠L + m∠M + m∠N = 180°

⇒ m∠L + 78° + 48° = 180°

⇒ m∠L = 54°

Therefore, the angles from greatest to least are:

• ∠M > ∠L > ∠N

So the sides from greatest to least are:

• LN > MN > LM

Question 20

Calculate the missing angle:

⇒ m∠H + m∠J + m∠K = 180°

⇒ m∠H + 28° + 118° = 180°

⇒ m∠H = 34°

Therefore, the angles from greatest to least are:

• ∠K > ∠H > ∠J

So the sides from greatest to least are:

• HJ > JK > HK