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
Related questions
Question
Find the value of each variable.
Transcribed Image Text:**Question 11:**
In the given diagram, there is an isosceles triangle with a right angle at the bottom vertex. One leg of the triangle (horizontal) is 5 units long. The other leg (vertical) is represented by 'x'. The hypotenuse (base) is represented by 'y'. The angle opposite the 5-unit leg is 45°.
**Explanation:**
The isosceles right triangle implies that the two legs are congruent. Thus, the value of 'x' will also be 5 units due to the nature of 45°-45°-90° triangles, where both legs are equal. The hypotenuse (y) can be found using the properties of an isosceles right triangle or the Pythagorean theorem.
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