Could 4.1cm,8.4cm, and 1.3cm be the side lengths of a triangle? Choose 1 answer: (A) Yes (B) No

Check Triangle Inequality Theorem: To determine if three lengths can form a triangle, we use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We will check this for all three combinations of sides. Calculate First Combination: First, we check if 4.1cm + 1.3cm > 8.4cm. Performing the calculation, we get 5.4cm > 8.4cm. First Combination Result: The sum of 4.1cm and 1.3cm is not greater than 8.4cm, so the lengths 4.1cm, 8.4cm, and 1.3cm cannot form a triangle according to the triangle inequality theorem. Conclusion: Since one of the conditions of the triangle inequality theorem is not satisfied, we do not need to check the other conditions. We can conclude that these lengths cannot form a triangle.

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Could
4.1cm,8.4cm, and
1.3cm be the side lengths of a triangle?
Choose 1 answer:
(A) Yes
(B) No

Could $4.1 \mathrm{~cm}, 8.4 \mathrm{~cm}$ , and $1.3 \mathrm{~cm}$ be the side lengths of a triangle? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Algebra 2

Is (x, y) a solution to the system of equations?

Full solution

Q. Could

4.1 \mathrm{~cm}, 8.4 \mathrm{~cm}

, and

1.3 \mathrm{~cm}

be the side lengths of a triangle?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Check Triangle Inequality Theorem: To determine if three lengths can form a triangle, we use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. We will check this for all three combinations of sides.
Calculate First Combination: First, we check if 4.1\,\text{cm} + 1.3\,\text{cm} > 8.4\,\text{cm}. Performing the calculation, we get 5.4\,\text{cm} > 8.4\,\text{cm}.
First Combination Result: The sum of $4.1\,\text{cm}$ and $1.3\,\text{cm}$ is not greater than $8.4\,\text{cm}$ , so the lengths $4.1\,\text{cm}$ , $8.4\,\text{cm}$ , and $1.3\,\text{cm}$ cannot form a triangle according to the triangle inequality theorem.
Conclusion: Since one of the conditions of the triangle inequality theorem is not satisfied, we do not need to check the other conditions. We can conclude that these lengths cannot form a triangle.