3) Consider the right triangle and find x: 6 X 5
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°.
Related questions
Question
![**Problem 3: Consider the right triangle and find x.**
The triangle depicted is a right triangle with one side measuring 5 units, another side measuring 6 units, and the hypotenuse labeled x.
To find x, you can use the Pythagorean theorem, which is stated as:
\[ a^2 + b^2 = c^2 \]
Here, \( a \) and \( b \) are the legs of the right triangle, and \( c \) is the hypotenuse. In this triangle, the sides 5 and 6 are the legs, and \( x \) is the hypotenuse.
**Calculation:**
\[ 5^2 + 6^2 = x^2 \]
\[ 25 + 36 = x^2 \]
\[ 61 = x^2 \]
\[ x = \sqrt{61} \]
Therefore, the length of the hypotenuse (x) is \(\sqrt{61}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b06ad62-773d-462b-92f4-af8c7860e976%2F5af1c25f-13d9-4d32-ac20-8d25ce17329e%2Frja07wg_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 3: Consider the right triangle and find x.**
The triangle depicted is a right triangle with one side measuring 5 units, another side measuring 6 units, and the hypotenuse labeled x.
To find x, you can use the Pythagorean theorem, which is stated as:
\[ a^2 + b^2 = c^2 \]
Here, \( a \) and \( b \) are the legs of the right triangle, and \( c \) is the hypotenuse. In this triangle, the sides 5 and 6 are the legs, and \( x \) is the hypotenuse.
**Calculation:**
\[ 5^2 + 6^2 = x^2 \]
\[ 25 + 36 = x^2 \]
\[ 61 = x^2 \]
\[ x = \sqrt{61} \]
Therefore, the length of the hypotenuse (x) is \(\sqrt{61}\).
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