The angles of a triangle are in the ratio 2:3 : 4. The largest angle of the
triangle is
(a) 120°
(b) 100°
(c) 80°
(d) 60°
Answers
Answered by
3
AnswEr :
The largest angle of the triangle is 80° (option C) .
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GiveN :
Angles of the triangle are in the ratio 2 : 3 : 4
To FinD :
Largest angle of the triangle = ?
SoluTion :
Let's assume the values of angles as,
∠A = 2x
∠B = 3x
∠C = 4x
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Now, We know that the sum of all the angles of a triangle is 180°(Angle sum property).
So, in any ΔABC
∠A + ∠B + ∠C = 180°
Substituting the values as per our assumption,
➠ 2x + 3x + 4x = 180°
➠ 9x = 180°
➠ x = 180°/9
➠ x = 20°
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★ So, the angles are :
∠A = 2x = 2(20) = 40°
∠B = 3x = 3(20) = 60°
∠C = 4x = 4(20) = 80°
∴ The largest angle is 80°
Hope it helps.
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