4 If the angles of a triangle ABC are in the ratio 2: 3:4, find the measures of the angles A, B, and C.
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Answer:
Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.
Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.So let us consider the angles as 2x,3x and 4x.
Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.So let us consider the angles as 2x,3x and 4x.2x+3x+4x=9x
Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.So let us consider the angles as 2x,3x and 4x.2x+3x+4x=9xAngle sum of triangle is 180 ∘ so 9x=180 or x= 9180 =20 ∘
Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.So let us consider the angles as 2x,3x and 4x.2x+3x+4x=9xAngle sum of triangle is 180 ∘ so 9x=180 or x= 9180 =20 ∘
Angle sum property of a triangle is 180degrees. It is given that the angles are in the ratio 2:3:4.So let us consider the angles as 2x,3x and 4x.2x+3x+4x=9xAngle sum of triangle is 180 ∘ so 9x=180 or x= 9180 =20 ∘ ∴,2x.=2×20=40
3x=3×20=60
3x=3×20=60 and 4x=4×20
3x=3×20=60 and 4x=4×20 =80
3x=3×20=60 and 4x=4×20 =80
3x=3×20=60 and 4x=4×20 =80 ∴ the angles are 40
3x=3×20=60 and 4x=4×20 =80 ∴ the angles are 40 ,60
3x=3×20=60 and 4x=4×20 =80 ∴ the angles are 40 ,60 ,80
3x=3×20=60 and 4x=4×20 =80 ∴ the angles are 40 ,60 ,80 ∘
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