Truer False:
The measurements of 3 ft., 4ft., and 6 ft. will form a triangle?
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1 point
True
False
True
Two sides of a triangle are 5 in. and 13in. What is a possible length of the 3rd side?
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2 points
3 in.
5 in.
6 in.
9 in.
6 in.
Select the value that would make this inequality represent the whole number values that side b could be to create a triangle.
b > _____
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2 points
Captionless Image
1
3
4
6
5
the image shows a = 2 outside on the left of the triangle and c = 6 outside on the right of the triangle and b outside on the bottom of the triangle
Given sides a = 2 and c = 6, and using the triangle inequality theorem, where any side of a triangle must be less than the sum of the other two sides:
Since b must be greater than the difference between c and a, the value that satisfies this is:
6 - 2 = 4
Therefore, the value for b is 4.
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Two sides of a triangle are 5 in. and 13in. What is a possible length of the 3rd side?
*
2 points
3 in.
5 in.
6 in.
9 in.
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Given sides 5 in. and 13 in., the possible length of the third side, which is represented by side b, can be calculated to be between:
13 - 5 < b < 13 + 5
8 < b < 18
Therefore, the possible length of the third side could be 6 in., making it the correct answer choice.