Can a triangle be formed with the following sides? If yes, name the ty

1.	Can a triangle be formed with the following sides? If yes, name the type of triangle.(i) 8 cm, 6 cm, 4 cm(ii) 10 cm, 8 cm, 5 cm(iii) 6.2 cm, 1.3 cm, 3.5 cm(iv) 6 cm, 6 cm, 4 cm(v) 3.5 cm, 3.5 cm, 3.5 cm(vi) 9 cm, 4 cm, 5 cm
Answer» (i) Sum of two smaller sides of the triangle = 6 + 4 = 10 cm > 8 cm It is greater than the third side. So, a triangle can be formed scalene triangle. (ii) Sum of two smaller sides of the triangle = 8 + 5 = 13 cm > 10 cm It is greater than the third side. So, a triangle can be formed scalene triangle. (iii) Sum of two smaller sides of the triangle = 1.3 + 3.5 = 4.8 cm < 6.2 cm It is not greater than the third side. So, a triangle cannot be formed. (iv) Two sides are equal. So, a triangle can be formed. Isosceles triangle. (v) Three sides are equal. So, a triangle can be formed equilateral triangle. (vi) Sum of two smaller sides of the triangle = 4 + 5 = 9 cm = 9 cm It is equal to the third side. No, a triangle cannot be formed.

Can a triangle be formed with the following sides? If yes, name the type of triangle.(i) 8 cm, 6 cm, 4 cm(ii) 10 cm, 8 cm, 5 cm(iii) 6.2 cm, 1.3 cm, 3.5 cm(iv) 6 cm, 6 cm, 4 cm(v) 3.5 cm, 3.5 cm, 3.5 cm(vi) 9 cm, 4 cm, 5 cm

Answer»

(i) Sum of two smaller sides of the triangle
= 6 + 4 = 10 cm > 8 cm

It is greater than the third side. So, a triangle can be formed scalene triangle.

(ii) Sum of two smaller sides of the triangle
= 8 + 5 = 13 cm > 10 cm

It is greater than the third side. So, a triangle can be formed scalene triangle.

(iii) Sum of two smaller sides of the triangle
= 1.3 + 3.5 = 4.8 cm < 6.2 cm

It is not greater than the third side. So, a triangle cannot be formed.

(iv) Two sides are equal.

So, a triangle can be formed. Isosceles triangle.

(v) Three sides are equal.

So, a triangle can be formed equilateral triangle.

(vi) Sum of two smaller sides of the triangle
= 4 + 5 = 9 cm = 9 cm

It is equal to the third side. No, a triangle cannot be formed.