Question

which set of side lengths will form a triangle? all lengths are given in meters. (1 point) 26, 12, 12 60, 26, 33 50, 60, 26 50, 30, 80

Explanation:

Step1: Recall 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 option 1 (26, 12, 12)

$12 + 12=24<26$, so it cannot form a triangle.

Step3: Check option 2 (60, 26, 33)

$26 + 33 = 59<60$, so it cannot form a triangle.

Step4: Check option 3 (50, 60, 26)

$50+26 = 76>60$, $50 + 60=110>26$, $26 + 60 = 86>50$. It can form a triangle.

Step5: Check option 4 (50, 30, 80)

$50+30 = 80$, which does not satisfy the triangle - inequality theorem. So it cannot form a triangle.

Answer:

50, 60, 26