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4) In the triangle shown, side y measures 108 meters and side z measures 117 meters. Use the Pythagorean theorem to find the measure of side x. y A) 44 meters B) 45 meters C) 40 meters D) 47 meters

4) In the triangle shown, side y measures 108 meters and side z measures 117 meters. Use the Pythagorean theorem to find the measure of side x. y A) 44 meters B) 45 meters C) 40 meters D) 47 meters

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question 4:** In the triangle shown, side \( y \) measures 108 meters and side \( z \) measures 117 meters. Use the Pythagorean theorem to find the measure of side \( x \). [Diagram of a right triangle with sides labeled as follows: \( y \) is the base, \( x \) is the height, and \( z \) is the hypotenuse.] Options: - A) 44 meters - B) 45 meters - C) 40 meters - D) 47 meters **Explanation of Diagram:** The given diagram is a right triangle where: - \( y \) is the base (108 meters). - \( x \) is the height (unknown). - \( z \) is the hypotenuse (117 meters). The Pythagorean theorem is represented by the equation \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse. Here, you need to find \( x \) using \( x^2 + 108^2 = 117^2 \).
Transcribed Image Text:**Question 4:** In the triangle shown, side \( y \) measures 108 meters and side \( z \) measures 117 meters. Use the Pythagorean theorem to find the measure of side \( x \). [Diagram of a right triangle with sides labeled as follows: \( y \) is the base, \( x \) is the height, and \( z \) is the hypotenuse.] Options: - A) 44 meters - B) 45 meters - C) 40 meters - D) 47 meters **Explanation of Diagram:** The given diagram is a right triangle where: - \( y \) is the base (108 meters). - \( x \) is the height (unknown). - \( z \) is the hypotenuse (117 meters). The Pythagorean theorem is represented by the equation \( a^2 + b^2 = c^2 \), where \( c \) is the hypotenuse. Here, you need to find \( x \) using \( x^2 + 108^2 = 117^2 \).
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