ind the length of the nypotenuse of the triangle below. 5 m 12 m
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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I need help with the Pythagorean theorem
![### Finding the Hypotenuse of a Right Triangle
**Question:** Find the length of the hypotenuse of the triangle below.
**Triangle Diagram:**
- The diagram shows a right-angled triangle with one leg labeled as 5 meters, the other leg labeled as 12 meters, and the hypotenuse labeled as "c".
### Choose the Correct Answer:
1. 3 m
2. 13 m
3. 169 m
4. 119 m
The hypotenuse (c) can be found using the Pythagorean theorem:
\[ c^2 = a^2 + b^2 \]
where \(a\) and \(b\) are the lengths of the legs of the triangle.
For this triangle:
\[ c^2 = 5^2 + 12^2 \]
\[ c^2 = 25 + 144 \]
\[ c^2 = 169 \]
\[ c = \sqrt{169} \]
\[ c = 13 \]
Therefore, the length of the hypotenuse is **13 meters**.
### Answer:
The correct answer is **13 m**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F907aed91-1505-4072-81d2-6809179f9249%2F58089022-6bd9-4621-8f36-c7da9c0a8b30%2Ft35wvjx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Finding the Hypotenuse of a Right Triangle
**Question:** Find the length of the hypotenuse of the triangle below.
**Triangle Diagram:**
- The diagram shows a right-angled triangle with one leg labeled as 5 meters, the other leg labeled as 12 meters, and the hypotenuse labeled as "c".
### Choose the Correct Answer:
1. 3 m
2. 13 m
3. 169 m
4. 119 m
The hypotenuse (c) can be found using the Pythagorean theorem:
\[ c^2 = a^2 + b^2 \]
where \(a\) and \(b\) are the lengths of the legs of the triangle.
For this triangle:
\[ c^2 = 5^2 + 12^2 \]
\[ c^2 = 25 + 144 \]
\[ c^2 = 169 \]
\[ c = \sqrt{169} \]
\[ c = 13 \]
Therefore, the length of the hypotenuse is **13 meters**.
### Answer:
The correct answer is **13 m**.
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