Question

1. using the triangle inequality theorem, can a triangle be formed with side lengths of 2 cm, 2 cm, and 5 cm?

a. only if its a right triangle
b. depends on the angle between them
c. yes
d. no

Explanation:

Step1: Recall the Triangle Inequality Theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step2: Check the sum of the two shorter sides

The two shorter sides are \(2\) cm and \(2\) cm. Their sum is \(2 + 2=4\) cm.

Step3: Compare with the longest side

The longest side is \(5\) cm. Since \(4<5\), the Triangle Inequality Theorem is not satisfied.

Answer:

d. No