11. The three angles of a triangle are in the ratio 1 : 2 : 1. Find all the angles of the triangle. Also classify the triangle
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Answer:
sum of all angles of triangle=180
No of angle=3
let the angle of triangle=X
3 angle=3x=180
X=60
angle a=60,b=60,c=60
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Step-by-step explanation:
let one angle be =1x(x)
let second angle be = 2x(y)
let third angle be =1x (z)
now,if we add x+y+z we get 180° ( angle sum property )
so , > 1x + 2x + 1x = 180°
> 4x=180
> x= 180/4
> x= 45°
therefore,
1st angle = 1x= 45°×1=45°
2nd angle= 2x= 45°× 2=90°
3rd angle= 3x= 45°×1=45°
therefore , it is a isosceles triangle because two angles are same in this triangle
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