Question

Can a triangle have sides with lengths 6 cm, 5 cm and 8cm. If yes then verify.​

Answer 1

Answer:

yes it can

Step-by-step explanation:

if the sum of any 2 sides is greater than the other it forms a triangle

6+5>8   --> 11 > 8 TRUE

5+8>6 --> 13 > 6 TRUE

6+8>5 --> 14 > 5 TRUE

henceforth the following sides can form a triangle

thank you !!!

Answer 2

Question :-

• Can a triangle have sides with lengths 6 cm, 5 cm and 8cm. If yes then verify.

Answer : -

Given :-

• Three sides of a triangle as 6 cm, 5 cm and 8 cm.

To verify :-

• Triangle is possible or not.

Concept used :-

• Triangle Inequality Theorem : This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the third side.

Solution:-

Let suppose that

AB = 6 cm

BC = 5 cm

CA = 8 cm

Step 1. Consider AB + BC = 6 + 5 = 11 > 8

⇛ AB + BC > CA

Step 2. Consider BC + CA = 5 + 8 = 13 > 6

⇛ BC + CA > AB

Step 3. Consider AB + AC = 6 + 8 = 14 > 5

⇛ AB + AC > BC

So, it means, the sum of the lengths of any two sides of a triangle must be greater than the third side.

Hence, it's possible.