Question 1182135: A. Given the measures of two angles, identify the longest
and shortest side in each triangle.
1. ∆ABC: m∠A = 20° and m∠B = 103°
2. ∆DEF: m∠D = 17° and m∠F = 53°
3. ∆GHI: m∠H = 30° and m∠I = 100°
B. Given the lengths of the sides, identify the largest and
smallest angle in each triangle.
4. ∆ABC: 𝐴𝐵̅̅̅̅ = 15, 𝐵𝐶̅̅̅̅ = 8 and 𝐴𝐶̅̅̅̅ = 12
5. ∆DEF: 𝐷𝐸̅̅̅̅ = 5, 𝐸𝐹̅̅̅̅ = 10 and 𝐷𝐹̅̅̅̅ = 13
6. ∆GHI: 𝐺𝐻̅̅̅̅ = 6, 𝐻𝐼 ̅̅̅ = 7 and 𝐺𝐼 ̅̅̅ = 10
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
1. ∆ABC: m∠A = 20° and m∠B = 103°
angle B > angle A
side opposite to greater angle has greater side
Side AC > side BC
Same rule applies to angles below.
2. ∆DEF: m∠D = 17° and m∠F = 53°
3. ∆GHI: m∠H = 30° and m∠I = 100°
4. ∆ABC: 𝐴𝐵̅̅̅̅ = 15, 𝐵𝐶̅̅̅̅ = 8 and 𝐴𝐶̅̅̅̅ = 12
5. ∆DEF: 𝐷𝐸̅̅̅̅ = 5, 𝐸𝐹̅̅̅̅ = 10 and 𝐷𝐹̅̅̅̅ = 13
6. ∆GHI: 𝐺𝐻̅̅̅̅ = 6, 𝐻𝐼 ̅̅̅ = 7 and 𝐺𝐼 ̅̅̅ = 10
Angle opposite to greater side has greater angle
∆ABC: 𝐴𝐵̅̅̅̅ = 15, 𝐵𝐶̅̅̅̅ = 8 and 𝐴𝐶̅̅̅̅ = 12
AB > AC >BC
therefore angle C > angle B >angle A
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