Which of the following sets of sides form the triangles ?
(a). 4 cm, 5 cm, 6 cm
(b) 3.5 cm, 4.5 cm, 8 cm
(c). 4cm, 5cm, 10cm
Answers
The correct option is (A)
Step-by-step explanation: We are given to select the correct side lengths that could form a triangle. the sum of the lengths of any two sides of a triangle is always greater than the third side.
The correct option is (C) 3 cm, 4 cm, 5 cm
Step-by-step explanation: We are given to select the correct side lengths that could form a triangle.
We know that,
the sum of the lengths of any two sides of a triangle is always greater than the third side.
That is, if a, b and c represents the lengths of three sides of a triangle, then we must have
Option (A) is
a = 2 cm, b = 2 cm, c = 4 cm.
We have
Hence, this option is NOT correct.
Option (B) is
a = 3 cm, b = 5 cm, c = 10 cm
So, this option is NOT correct.
Option (C) is
a = 3 cm, b = 4 cm, c = 5 cm.
So, this option is CORRECT.
Option (D) is
a = 4 cm, b = 8 cm, c = 15 cm.
So, this option is NOT correct.
Thus, (C) is the correct option.