Question

State which of the following are triangle AB=25cm, BC=20cm,AC=15cm

Answer 1

Given :

• AB = 25cm
• BC = 20cm
• AC = 15cm

To find:

• Whether with above values of AB , BC , AC , a triangle can be formed or not.

Solution :

[ Note- A triangle can be formed from three given values if sum of smaller sides is more than the largest side ]

Step 1) writing given values in ascending order

• 15 cm < 20 cm < 25 cm => AC < BC < AB

Step 2) Add two small value ( sides)

• AC and BC are smaller than AB
• AC + BC = 15cm + 20cm
• AC + BC = 40 cm

Step 3) Compare sum of smaller sides with largest side

• Sum of smaller side = 40cm
• Largest side = AB = 25cm

Here we can see that , sum of smaller sides is larger than largest side ( 40cm > 25cm)

Hence , a triangle ABC with given side can be formed.