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0 votes
5.3k views
in Geometry by (9.2k points)

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

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1 Answer

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by (15.8k points)

(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.

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