Question

Based upon your observations, determine if it ispossible to form a triangle using segments with thegiven measurements. Explain your reasoning.a. 2 cm, 5.1 cm, 2.4 cmYes, these three segments will form a triangleNo, these three segments will NOT form a triangle

Answer 1

In a triangle of sides a, b and c, the next relation must be satisfied:

The sum of the lengths of any two sides is greater than the length of the third side. That is:

a + b > c

a + c > b

b + c > a

Calling:

a: 2 cm

b: 5.1 cm

c: 2.4 cm

we get:

2 + 2.4 < 5.1

Then, these three segments will NOT form a triangle