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Check if the following are triangles? If yes name them? 1) #ΔTAR, ∠T= 184 and ∠A = 86# 2) #ΔDEZ, ∠D = 60 and ∠E = 60# 3) #ΔCHI, ∠C = 30, ∠H = 60 and ∠I = 90# 4)#ΔJMR, ∠J = 5, ∠M = 120 and ∠R = 67# 5) #ΔKLM, bar(KL) = bar(LM) = bar(MK)#

Name the following triangles?
1) #ΔTAR, ∠T= 184 and ∠A = 86#
2) #ΔDEZ, ∠D = 60 and ∠E = 60#
3) #ΔCHI, ∠C = 30, ∠H = 60 and ∠I = 90#
4)#ΔJMR, ∠J = 5, ∠M = 120 and ∠R = 67#
5) #ΔKLM, bar(KL) = bar(LM) = bar(MK)#

Answer 1

Below

1) Not a triangle Reason: angle sum of any triangle is #180^@# but #angleT# is already #184^@#

2) Triangle (equilateral) Reason: equilateral triangles all have their interior angles equal to #60^@#

3) Triangle (right-angled) Reason: angle sum does equal to #180^@# and an angle is equal to #90^@# which is a right angle

4)Not a triangle Reason: same as 1

5)Triangle (equilateral) Reason: all sides of an equilateral triangle is the same

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Check if the following are triangles? If yes name them? 1) #ΔTAR, ∠T= 184 and ∠A = 86# 2) #ΔDEZ, ∠D = 60 and ∠E = 60# 3) #ΔCHI, ∠C = 30, ∠H = 60 and ∠I = 90# 4)#ΔJMR, ∠J = 5, ∠M = 120 and ∠R = 67# 5) #ΔKLM, bar(KL) = bar(LM) = bar(MK)#

Name the following triangles? 1) #ΔTAR, ∠T= 184 and ∠A = 86# 2) #ΔDEZ, ∠D = 60 and ∠E = 60# 3) #ΔCHI, ∠C = 30, ∠H = 60 and ∠I = 90# 4)#ΔJMR, ∠J = 5, ∠M = 120 and ∠R = 67# 5) #ΔKLM, bar(KL) = bar(LM) = bar(MK)#

Name the following triangles?
1) #ΔTAR, ∠T= 184 and ∠A = 86#
2) #ΔDEZ, ∠D = 60 and ∠E = 60#
3) #ΔCHI, ∠C = 30, ∠H = 60 and ∠I = 90#
4)#ΔJMR, ∠J = 5, ∠M = 120 and ∠R = 67#
5) #ΔKLM, bar(KL) = bar(LM) = bar(MK)#