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)#

Question

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)#

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Answer 1 · 2018-07-29T08:36:23

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