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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 ?
28 Aug 2018, 22:23
Kudos
Bookmarks
henryford
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 ?
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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