Question

if one angle is the average of other two angle and the difference between the least and greatest angle is 60degree. What triangle is formed?

Answer 1

Answer:

Right angled Triangle

Step-by-step explanation:

Let least angle of the triangle be x∘

 

Greatest angle = x ∘ +60∘

 

• Third angle =   2 x∘ +x∘ +60∘  

• =x∘+30∘

 

We have,

• x∘ +x∘+30∘ +x∘ +60∘  =180∘

 

• 3x∘ +90∘  =180∘

 

• x=30∘

 

The angles are 30∘

,60∘

,90∘

 

∴ one of the angle is 90∘

, so the triangle formed is a right angled triangle.

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