Math Problem Statement
Which of the following is true?
Responses
a+b=c2 can be used to find a missing side length of a right triangle
A plus b is equal to c squared can be used to find a missing side length of a right triangle
Pythagorean Theorem can be applied to any triangle
Pythagorean Theorem can be applied to any triangle
The longest side of a right triangle is opposite to the right angle
The longest side of a right triangle is opposite to the right angle
The hypotenuse is the shortest side of a triangle
Solution
The correct statement is:
The longest side of a right triangle is opposite to the right angle.
This is a basic property of right triangles. The longest side, called the hypotenuse, is always opposite the right angle (90°).
Let's break down why the other statements are incorrect:
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a+b=c² can be used to find a missing side length of a right triangle: This is incorrect. The correct form of the Pythagorean Theorem is a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse.
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A plus b is equal to c squared can be used to find a missing side length of a right triangle: Again, this is incorrect. The correct equation is a² + b² = c², not a + b = c².
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Pythagorean Theorem can be applied to any triangle: This is incorrect. The Pythagorean Theorem only applies to right triangles (triangles with a 90° angle).
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The hypotenuse is the shortest side of a triangle: This is incorrect. The hypotenuse is the longest side of a right triangle, not the shortest.
Would you like a detailed explanation of the Pythagorean Theorem or more examples? Let me know if you have any questions!
Here are 5 related questions:
- How do you use the Pythagorean Theorem to find a missing side in a right triangle?
- Can the Pythagorean Theorem be applied to non-right triangles?
- How do you determine whether a triangle is a right triangle using the Pythagorean Theorem?
- What happens if the Pythagorean Theorem does not hold for a given set of side lengths?
- What are some real-world applications of the Pythagorean Theorem?
Tip: Remember that the Pythagorean Theorem only works for right triangles, where one of the angles is 90°.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Pythagorean Theorem
Formulas
a² + b² = c²
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 7-10
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