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28 Aug 2018, 22:14
Kudos
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Hi all ,
Q ) Isosceles triangle ABC has two sides with lengths 3 and 9. What is the length of the third side?
The given solution was 9 for the above question, and explaination was given that with 3 - 3 - 9 we cant form an Isosceles triangle , only with 9 - 9 - 3 will form an Isosceles triangle.
But 3 - 3 - 9 will also form the Isosceles triangle right but it may look smaller than the 9 - 9 - 3 ?
or else am i missing something basic here ?
Q ) Isosceles triangle ABC has two sides with lengths 3 and 9. What is the length of the third side?
The given solution was 9 for the above question, and explaination was given that with 3 - 3 - 9 we cant form an Isosceles triangle , only with 9 - 9 - 3 will form an Isosceles triangle.
But 3 - 3 - 9 will also form the Isosceles triangle right but it may look smaller than the 9 - 9 - 3 ?
or else am i missing something basic here ?
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28 Aug 2018, 22:23
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henryford
To determine if the three lengths will form a triangle or not.
We need to know the most basic property of a triangle:
Sum of lengths of any two sides of a triangle > Length of the third side
This means that:
• a + b > c
• b + c > a
• c + a > b
Please note that all the three inequalities should satisfy for the triangle to exist.
For the above Question if the triangle has 3-3-9 as its sides then 3+3 is not greater than 9. Hence triangle can't be formed.
In case of 9-9-3,
9+9>3
9+3>9
3+9>9
Hence a triangle can be formed.
08 Apr 2022, 00:15
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
