Question

if one angle is the average of other two angles and the difference between the greatest and least angle is 60 degree then the formed triangle is
1 an isosceles triangle
2 an equilateral triangle
3 an right angled triangle
​

Answer 1

Answer:

3 .right angled triangle

Answer 2

one angle is 90° so, the triangle formed is a right angled triangle

Step-by-step explanation:

let the least angle be x

then

greatest angle = x+ 60

third angle = $\frac{x+x+60}{2}$

third angle = x+ 30°

then

we know that the sum of  the angles of the triangle is 180°

then

x°+x°+30°+x+60° = 180°

3x°+90°= 180°

3x° = 180-90

3x° = 90

x = 30°

then

least angle is 30°

greatest angle = x+ 60 = 30 + 60 = 90°

third angle = x+30° = 30+30 = 60°

hence , The angles are 30°, 60° , 90°

since , one angle is 90° so, the triangle formed is a right angled triangle

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