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**.
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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