|
The triangle inequality theorem states that the length of a side of a triangle is always less than the sum of the lengths of the other two sides. The smallest side plus the medium side of a triangle must be larger than the largest side. Otherwise, it could not close to make a triangle. S + M > L
If we subtract the medium one from both sides, that means the small side must be larger than the large side minus the medium side. S + M > L - M - M S > L - M Since S + M > L and S > L - M, if we know two sides of a triangle, we can get the range for the missing side. The two known sides for a triangle are 5 inches and 8 inches. If the largest side is missing, it must be smaller than 5 + 8 or 13 inches. If the smallest side is missing, it must be larger than 8 - 5 or 3 inches.
Therefore, the missing side must range between 3 inches and inches. It must be larger than 3 inches and smaller than 13 inches or it will not form a triangle. Since S + M > L and S > L - M, if we know two sides of a triangle, we can get the range for the missing side. The two known sides for a triangle are 3 inches and 7 inches. If the largest side is missing, it must be smaller than 3 + 7 or 10 inches. If the smallest side is missing, it must be larger than 7 - 3 or 4 inches.
Therefore, the missing side must range between 4 inches and inches. Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side. The two known sides for a triangle are 3 inches and 2 inches. If the largest side is missing, it must be smaller than 3 + 2 inches. If the smallest side is missing, it must be larger than 3 - 2 inches.
Therefore, the missing side must range between inches and inches. Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side. The two known sides for a triangle are 7 inches and 10 inches. If the largest side is missing, it must be smaller than 7 + 10 inches. If the smallest side is missing, it must be larger than 10 - 7 inches.
Therefore, the missing side must range between inches and inches. Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side. The two known sides for a triangle are 6 inches and 8 inches. If the largest side is missing, it must be smaller than 6 + 8 inches. If the smallest side is missing, it must be larger than 8 - 6 nches.
Therefore, the missing side must range between inches and inches. Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side.
The two known sides for a triangle are 3" and 8"
Therefore, the missing side must range between inches and inches. Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side.
The two known sides for a triangle are 4" and 7".
Therefore, the missing side must range between inches and inches. Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side.
The two known sides for a triangle are 7" and 10". What is the range for the missing side? " < x < " Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side.
The two known sides for a triangle are 14" and 17". Solve for the missing side. " < x < " Since S + M > L and S > L - M, if we know two sides of a triangle, we can get a range for the missing side.
The two known sides for a triangle are 12" and 16". What are possible values for the missing side? " < x < " The two known sides for a triangle are 12" and 20". What are possible values for the missing side? " < x < " The two known sides for a triangle are 12" and 6". What are possible values for the missing side? " < x < " The two known sides for a triangle are 14" and 20". What are possible values for the missing side? " < x < " The two known sides for a triangle are 14" and 30". What are possible values for the missing side? " < x < " The two known sides for a triangle are 14" and 16". What are possible values for the missing side? " < x < " |