Evaluate the argument below. Is this a valid argument to support Sarah's claim? Explain your thinking.

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:
Evaluate the argument below. Is this a
valid argument to support Sarah's claim?
Explain your thinking.
Argument:
A ladder is leaning against a wall. The
steeper the ladder is, the higher it can
reach (as shown in the figure below). You
can see that the height that the ladder
can reach is always shorter than the
ladder's length (unless the ladder is
attached to the wall). The height is
actually the leg of a right triangle and the
ladder is the hypotenuse. Hence the
hypotenuse is always longer than the legs
of the same triangle.
Transcribed Image Text:Question: Evaluate the argument below. Is this a valid argument to support Sarah's claim? Explain your thinking. Argument: A ladder is leaning against a wall. The steeper the ladder is, the higher it can reach (as shown in the figure below). You can see that the height that the ladder can reach is always shorter than the ladder's length (unless the ladder is attached to the wall). The height is actually the leg of a right triangle and the ladder is the hypotenuse. Hence the hypotenuse is always longer than the legs of the same triangle.
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