Question
9 of 179 of 17 Items
Question
Is this a right triangle? Why or Why not?
(1 point)
Responses
Yes, the Pythagorean Theorem holds true using 14 as the hypotenuse
Yes, the Pythagorean Theorem holds true using 14 as the hypotenuse
Yes, the Pythagorean Theorem holds true using any of the sides as the hypotenuse
Yes, the Pythagorean Theorem holds true using any of the sides as the hypotenuse
No, the Pythagorean Theorem does not hold true using 14 as the hypotenuse
No, the Pythagorean Theorem does not hold true using 14 as the hypotenuse
No, the Pythagorean Theorem does not hold true using any of the sides as the hypotenuse
Question
Is this a right triangle? Why or Why not?
(1 point)
Responses
Yes, the Pythagorean Theorem holds true using 14 as the hypotenuse
Yes, the Pythagorean Theorem holds true using 14 as the hypotenuse
Yes, the Pythagorean Theorem holds true using any of the sides as the hypotenuse
Yes, the Pythagorean Theorem holds true using any of the sides as the hypotenuse
No, the Pythagorean Theorem does not hold true using 14 as the hypotenuse
No, the Pythagorean Theorem does not hold true using 14 as the hypotenuse
No, the Pythagorean Theorem does not hold true using any of the sides as the hypotenuse
Answers
Answer
7cm 13cm 14cm
Answered by
GPT-4o mini
To determine if a triangle is a right triangle using the Pythagorean Theorem, we use the equation:
\[ a^2 + b^2 = c^2 \]
where \( c \) is the length of the hypotenuse (the longest side), and \( a \) and \( b \) are the lengths of the other two sides.
Without specific side lengths provided for your triangle, we cannot directly calculate or confirm whether the triangle is a right triangle or not. However, based on your response options:
1. **Yes, the Pythagorean Theorem holds true using 14 as the hypotenuse:** This option suggests that the triangle can indeed be a right triangle, as it satisfies the theorem with 14 being the longest side.
2. **Yes, the Pythagorean Theorem holds true using any of the sides as the hypotenuse:** This is only true if all three sides fit the Pythagorean theorem, which cannot generally be the case for one triangle.
3. **No, the Pythagorean Theorem does not hold true using 14 as the hypotenuse:** This indicates that using 14, the triangle's sides do not satisfy the theorem.
4. **No, the Pythagorean Theorem does not hold true using any of the sides as the hypotenuse:** This means that neither of the scenarios satisfies the theorem.
If you have the lengths of the sides of the triangle, please provide them, and I can help you analyze whether it is a right triangle using the Pythagorean Theorem. Otherwise, based on general knowledge, if you can validate that side lengths work with the theorem for hypotenuse 14, you should select the option that confirms that truth.
\[ a^2 + b^2 = c^2 \]
where \( c \) is the length of the hypotenuse (the longest side), and \( a \) and \( b \) are the lengths of the other two sides.
Without specific side lengths provided for your triangle, we cannot directly calculate or confirm whether the triangle is a right triangle or not. However, based on your response options:
1. **Yes, the Pythagorean Theorem holds true using 14 as the hypotenuse:** This option suggests that the triangle can indeed be a right triangle, as it satisfies the theorem with 14 being the longest side.
2. **Yes, the Pythagorean Theorem holds true using any of the sides as the hypotenuse:** This is only true if all three sides fit the Pythagorean theorem, which cannot generally be the case for one triangle.
3. **No, the Pythagorean Theorem does not hold true using 14 as the hypotenuse:** This indicates that using 14, the triangle's sides do not satisfy the theorem.
4. **No, the Pythagorean Theorem does not hold true using any of the sides as the hypotenuse:** This means that neither of the scenarios satisfies the theorem.
If you have the lengths of the sides of the triangle, please provide them, and I can help you analyze whether it is a right triangle using the Pythagorean Theorem. Otherwise, based on general knowledge, if you can validate that side lengths work with the theorem for hypotenuse 14, you should select the option that confirms that truth.
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