Question

What is the smallest integer, x. if x, x+7, and 2x-20 can be the lengths of the sides of a triangle ?

Answer 1

1
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Answer 2

Answer:

Step-by-step explanation:

x,(x+7),(2x-20) are sides of a triangle. It should must satisfy the rule : -

Third side of a triangle must be less than the sum of other two sides of a triangle & must be greater than the difference of other two sides of a triangle.

Firstly x should be greater than 10 to get side of triangle to be positive.

Lets start with x= 11, sides are: 11, 18, 2

x= 12, sides are: 12, 19, 4

 x= 13, sides are: 13, 20, 6

 x= 14, sides are: 14, 21, 8{ this satisfy the condition for the the triangle to exist }

The least value= 14

The correct answer is: 14