# 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)

Jul 29, 2018

Below

#### Explanation:

1) Not a triangle
Reason: angle sum of any triangle is ${180}^{\circ}$ but $\angle T$ is already ${184}^{\circ}$

2) Triangle (equilateral)
Reason: equilateral triangles all have their interior angles equal to ${60}^{\circ}$

3) Triangle (right-angled)
Reason: angle sum does equal to ${180}^{\circ}$ and an angle is equal to ${90}^{\circ}$ 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