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The length of the sides of a triangle are x + 1, 9 - x and 5x -3 . The number of values of x for which the triangle is isosceles is:
- a)0
- b)1
- c)2
- d)3
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The length of the sides of a triangle are x + 1, 9 - x and 5x -3 . Th...
In isosceles triangle, 2 sides will be equal
Let x + 1 = 9 - x
2x = 8
X = 4
The sum of any two sides of triangle should be greater than third side
Hence, if x = 4, then sides of the triangle are 5, 5 and 17
This is invalid as the sum of (5+5) is less than 17
Let x + 1 = 5x - 3
X = 1
If x = 1, then the sides of the triangle are 2, 8, 2
This is also invalid
Let 9 - x = 5x - 3
X = 2
If x =2, then the sides of the triangle are 3, 7, 7
Hence, this is valid.
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The length of the sides of a triangle are x + 1, 9 - x and 5x -3 . The number of values of x for which the triangle is isosceles is:a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?
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