Pregunta
in says she has memorized the lengths of a few right triangles, for example, 3,4 , and
She is trying to compile a list of several right triangles but needs your help.
select all the lengths of triangles that are right.
(Lesson 3 -14)
She is trying to compile a list of several right triangles but needs your help.
select all the lengths of triangles that are right.
(Lesson 3 -14)
Ask by Maxwell Clark. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The right triangles are A) 1, 1, √2 and C) 5, 12, 13.
Solución
To determine which sets of lengths form right triangles, we can apply the Pythagorean Theorem, which states that for a right triangle with legs
Let’s evaluate each option:
A) 1, 1,
- Identify the largest side:
(approximately 1.414) - Apply the Pythagorean Theorem:
- Conclusion:
. This satisfies the theorem. Right triangle.
B) 2, 4, 6
- Identify the largest side: 6
- Apply the Pythagorean Theorem:
- Conclusion:
. Not a right triangle.
C) 5, 12, 13
- Identify the largest side: 13
- Apply the Pythagorean Theorem:
- Conclusion:
. This satisfies the theorem. Right triangle.
D) 8, 9, 64
- Identify the largest side: 64
- Apply the Pythagorean Theorem:
- Conclusion:
. Not a right triangle.
E) 7, 19, 22
- Identify the largest side: 22
- Apply the Pythagorean Theorem:
- Conclusion:
. Not a right triangle.
Final Answer
Options A and C are the sets of lengths that form right triangles.
Right triangles are those with side lengths A) 1, 1, √2 and C) 5, 12, 13.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Beyond the Answer
To determine which sets of lengths can form right triangles, we can apply the Pythagorean theorem, which states that for a right triangle with legs
So, let’s dive into each option:
A)
B)
C)
D)
E)
So, the lengths that can form right triangles are: A)
Want to dive deeper into triangles? Right triangles have such storied histories in different cultures, especially in ancient Greece with Pythagoras! He and his followers made significant contributions to understanding these triangles, influencing mathematics for centuries.
For modern-day applications, right triangles are everywhere! From construction to navigation, knowledge of right triangles helps ensure structures are built accurately and calculating distances becomes effortless due to concepts like trigonometric ratios. So, next time you pass a building site or look at a map, you can think of that trusty right triangle!
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
