# 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.

• 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.