Given a triangle with side lengths in., in., and in., which classification best represents this triangle?
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
7. Non-Right Triangles
Law of Sines
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Given two triangles and , which congruence theorem can be used to prove that they are congruent?
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B
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Verified step by step guidance1
Identify the given triangles: \( \triangle wxz \) and \( \triangle yzx \). Notice the order of vertices, which indicates corresponding angles and sides.
Recall the common triangle congruence theorems: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS). Each requires specific known parts to prove congruence.
Analyze the given information or figure (if any) to determine which parts (angles and sides) are known to be equal between the two triangles. Pay attention to the position of the known angles and sides relative to each other.
Since the correct answer is Angle-Angle-Side (AAS), understand that this theorem states: if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.
Match the known parts of \( \triangle wxz \) and \( \triangle yzx \) to the AAS criteria by identifying the two pairs of equal angles and the side that is not between those angles, confirming that AAS applies.
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