Question

question 2 (1 point)
could 10.7 cm, 3.2 cm, and 5.5 cm be the side lengths of a triangle?
choose 1 answer:
a yes
b no

a yes
b no

Explanation:

Step1: Recall triangle inequality theorem

For three side lengths \(a\), \(b\), \(c\) to form a triangle, the sum of any two sides must be greater than the third side. So we need to check \(3.2 + 5.5\) vs \(10.7\), \(3.2+10.7\) vs \(5.5\), and \(5.5 + 10.7\) vs \(3.2\).

Step2: Check the sum of the two smaller sides

The two smaller sides are \(3.2\) cm and \(5.5\) cm. Their sum is \(3.2+5.5 = 8.7\) cm. Now compare this sum with the largest side, \(10.7\) cm. Since \(8.7<10.7\), the sum of the two smaller sides is not greater than the largest side.

Answer:

B. No