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The length of a diagonal of a rectangle is the square root of the sum of the squares of the length of the two adjacent sides. Draw rectangle ABCD on the coordinate plane with A at the origin, vertex B(b,0), vertex C(b,a) and vertex D(0,a). Using the V AB = b, BC = a, and AC = Substituting and squaring both sides in the equation for AC gives AC? =

The length of a diagonal of a rectangle is the square root of the sum of the squares of the length of the two adjacent sides. Draw rectangle ABCD on the coordinate plane with A at the origin, vertex B(b,0), vertex C(b,a) and vertex D(0,a). Using the V AB = b, BC = a, and AC = Substituting and squaring both sides in the equation for AC gives AC? =

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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Plan and write a coordinate proof of the following statement. The length of a diagonal of a rectangle is the square root of the sum of the squares of the length of the two adjacent sides. Draw rectangle ABCD on the coordinate plane with A at the origin, vertex B(b,0), vertex C(b,a) and vertex D(0,a). Using the V AB = b, BC =a, and AC = V Substituting and squaring both sides in the equation for AC gives AC2
Transcribed Image Text:Plan and write a coordinate proof of the following statement. The length of a diagonal of a rectangle is the square root of the sum of the squares of the length of the two adjacent sides. Draw rectangle ABCD on the coordinate plane with A at the origin, vertex B(b,0), vertex C(b,a) and vertex D(0,a). Using the V AB = b, BC =a, and AC = V Substituting and squaring both sides in the equation for AC gives AC2
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