Use the Pythagorean Theorem to calculate the value lecimal place.

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°.
Question
Use the Pythagorean Theorem to calculate the value of \( x \) to 1 decimal place.

**Diagram Explanation:**

This image shows a right-angled triangle. The hypotenuse (the side opposite the right angle) is labeled with the number 7. One of the legs (the side adjacent to the right angle) is labeled with \( x \). The right angle is indicated by a small square at the corner.

To find the value of \( x \), apply the Pythagorean Theorem, which is expressed as:

\[ a^2 + b^2 = c^2 \]

where \( c \) is the hypotenuse. In this triangle:

- \( c = 7 \)
- \( a = x \)
- \( b \) is the other leg, which is not labeled in this diagram.

We assume the information for \( b \) is required to calculate \( x \). However, if we are to solve for \( x \), we might need additional information or assumptions regarding the length of the other side.
Transcribed Image Text:Use the Pythagorean Theorem to calculate the value of \( x \) to 1 decimal place. **Diagram Explanation:** This image shows a right-angled triangle. The hypotenuse (the side opposite the right angle) is labeled with the number 7. One of the legs (the side adjacent to the right angle) is labeled with \( x \). The right angle is indicated by a small square at the corner. To find the value of \( x \), apply the Pythagorean Theorem, which is expressed as: \[ a^2 + b^2 = c^2 \] where \( c \) is the hypotenuse. In this triangle: - \( c = 7 \) - \( a = x \) - \( b \) is the other leg, which is not labeled in this diagram. We assume the information for \( b \) is required to calculate \( x \). However, if we are to solve for \( x \), we might need additional information or assumptions regarding the length of the other side.
This image depicts a right triangle with one side labeled as the square root of 22 (\(\sqrt{22}\)) and an unknown side labeled as \(x\). The triangle includes a right angle.

Below the triangle, there are four multiple-choice options for the value of \(x\):

- 3.9
- 5.4
- 6.7
- 5.2
Transcribed Image Text:This image depicts a right triangle with one side labeled as the square root of 22 (\(\sqrt{22}\)) and an unknown side labeled as \(x\). The triangle includes a right angle. Below the triangle, there are four multiple-choice options for the value of \(x\): - 3.9 - 5.4 - 6.7 - 5.2
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We have to use pyathagoran theorem

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