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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Transcribed Image Text:**Question:**
Select the three side lengths that could form a right triangle.
**Options:**
- \(\sqrt{34}\)
- 8
- \(\sqrt{89}\)
- 5
**Instructions:**
To figure out if a set of side lengths can form a right triangle, use the Pythagorean theorem. It states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b), or \(a^2 + b^2 = c^2\). Identify and verify which combination of these values satisfies this condition.

Transcribed Image Text:The image presents a right triangle with a right angle marked. The text prompts the viewer to "Find the measure of angle A in the diagram below."
The triangle has the following labels:
- The side opposite the right angle is labeled \( 71x - 1 \).
- The side adjacent to angle A is labeled \( 20x \).
Below the diagram are four answer choices for the measure of angle A:
- \( 71 \)
- \( -1 \)
- \( 20 \)
- \( 1 \)
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