Question

19. The angles of a triangle are in the ratio 2 : 3: 4. The triangle is a
(a) Scalene triangle
(b) Equilateral triangle
(c)Isosceles Triangle
(d) Right angled triangle​

Answer 1

A triangle is called acute angle triangle if all its angles are acute

And a triangle is called scalene triangle if all of its sides are different

Therefore according to question

let angles of triangle be 2x,3x,4x

sum of angles of triangle=180

2x+3x+4x=180o

x=20o

hence angles are 40o,60o,80o

therefore triangle is acute triangle

and since all angles are different therefore it is also a scalene triangle

(A) this obtion is correct

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Answer 2

Solution :-

Let us Assume That, angles of given traingle are 2x , 3x & 4x respectively .

Than, By angle sum Property ,

→ 2x + 3x + 4x = 180°

→ 9x = 180°

→ x = 20° .

Therefore,

Angles of ∆ are :-

→ 2x = 2*20 = 40°

→ 3x = 3*20 = 60°

→ 4x = 4*20 = 80° .

As we can see all angles of given ∆ are less than 90° .

Hence, we can conclude that the given ∆ is a scalene or Acute Triangle. (Option A) (Ans.)

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Extra :-

Triangle :--- is a plane figure with three straight sides and three angles.

Triangles can also have names that tell you what type of angle is inside: ---

1) Acute Triangle = All angles are less than 90°..

2) Right Triangle = Has a right angle (90°)..

3) Obtuse Triangle = Has an angle more than 90°..

→ The three interior angles always add to 180°...