One angle of a triangle is 3 times smallest angle and half of the greatest angle.

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One angle of a triangle is 3 times smallest angle and half of the greatest angle

 

 

One angle of a triangle is 3 times smallest angle and half of the greatest angle
One angle of a triangle is 3 times smallest angle and half of the greatest angle


Triangle- A two dimensional closed shape with three sides and three vertices.

  • A triangle is comprised of 3 sides, 3 vertices, and 3 angles.
  • The sum of three interior angles of a triangle is always 180degree.
  • The sum of two sides (length) of a triangle is always greater than the length of the third side.
  • The area of a triangle is equal to the half of the product of its base and height.

We know the sum of three interior angles of a triangle is=180°.

  •    Here we can consider the smallest angle is x°.
  • 3 times of smallest angle=3x°.
  • The angle which is 3 times of the smallest angle is half of the greatest angle=3x°.
  • Greatest angle is= 6x°.

Now we know the sum of triangle=180°.

We can apply x°+3x°+6x°=180°.

ð 10x°=180°.

= > x°=180°/10=18°.

= > 3x°=3*18=54°.

= > 6x°=6*18°=108°.

If we want to know the angles, then

  •         Three angles of this triangles are 18°, 54°, and 108°.
  •        According to angles we can tell it is obtuse angle.                                                             

 Solved Question-

  • 1.   How many cones are there in a triangle? Or we can say how many angles are there in a triangle?

    Answer-There are three angles  in a triangle.

        



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