Ram, Shyam and Harish are close friends. Their teacher has given each of them a stick of length 30cm and asked them to break it into three parts in any way and then join them along their ends to form a triangle. The three broke them in the given manner-
Ram- 5cm, 15cm, 10cm
Shyam- 4cm, 6cm, 20cm
Harish- 12cm, 8cm , 10cm
Who will be able to form a triangle and why?
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Answer:
- Ram is not able to form a triangle.
- Shyam is not able to form a triangle.
- Harish is able to form a triangle.
Step-by-step explanation:
Property of triangle:
The sum of the length of any two sides of a triangle is greater than the length of the third side.
Ram:
The sum of two sides = 5 + 10 = 15 cm which is not greater than the third side. So, Ram is not able to form a triangle.
Shyam :
The sum of two sides = 4 + 6 = 10 cm which is not greater than the third side. So, Shyam is not able to form a triangle.
Harish :
The sum of two sides = 8 + 10 = 18 cm which is greater than the third side. So, Harish is able to form a triangle.
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