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Select the three sides lengths that could form a right triangle. √34 8 5 89

Select the three sides lengths that could form a right triangle. √34 8 5 89

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:** 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:**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.
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: - \( 71 \) - \( -1 \) - \( 20 \) - \( 1 \)
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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