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Give a paragraph form of proof. X = (1 2 AMNQ = M = S Let x be the semiperimeter of AMNQ. Using the given side lengths (in terms of s and a), the semiperimeter is 1₂) Simplifying gives x = 5 + a X X lengths (in terms of s and a) along with the semiperimeter x, the area AMNQ of the triangle is given by the following. = Given: Prove: 28 + 2a 2a AMNQ = √√x(x - 5)(x - 5)(x − ( [ Substituting the expression found for x into the equation and simplifying gives the following. )(a + 5) - (a + s) 5+a AMNQ (Note: s > a.) isosceles AMNQ with QM = QNs and MN = 2a = a√√√√ s² - a² a²(s + a) (a + s).a.a. (E S X N 5-a 5-a x - 2a . Using Heron's Formula with the given side X − s)((a + s) − s)((a + s) − 2a −

Give a paragraph form of proof. X = (1 2 AMNQ = M = S Let x be the semiperimeter of AMNQ. Using the given side lengths (in terms of s and a), the semiperimeter is 1₂) Simplifying gives x = 5 + a X X lengths (in terms of s and a) along with the semiperimeter x, the area AMNQ of the triangle is given by the following. = Given: Prove: 28 + 2a 2a AMNQ = √√x(x - 5)(x - 5)(x − ( [ Substituting the expression found for x into the equation and simplifying gives the following. )(a + 5) - (a + s) 5+a AMNQ (Note: s > a.) isosceles AMNQ with QM = QNs and MN = 2a = a√√√√ s² - a² a²(s + a) (a + s).a.a. (E S X N 5-a 5-a x - 2a . Using Heron's Formula with the given side X − s)((a + s) − s)((a + s) − 2a −

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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Give a paragraph form of proof. X = 2 AMNQ = M = Let x be the semiperimeter of AMNQ. Using the given side lengths (in terms of s and a), the semiperimeter is (1 Simplifying gives x = 5 + a = S Given: Prove: = 28 + 2a X X lengths (in terms of s and a) along with the semiperimeter x, the area AMNQ of the triangle is given by the following. AMNQ = √√x(x - 5)(x - 5)(x − ( [ Substituting the expression found for x into the equation and simplifying gives the following. )(a + 5) - - s) − s)((a + (a + s) - s 2a 5+a AMNQ (Note: s > a.) √a². isosceles AMNQ with QM = QNs and MN = 2a = a√√√√ s² - a² a²(s + a) (a + s).a.a. 2 [ S N X s²_a² 5-a 5-a . Using Heron's Formula with the given side x - 2a :) - s) ((a+s) - 2a)
Transcribed Image Text:Give a paragraph form of proof. X = 2 AMNQ = M = Let x be the semiperimeter of AMNQ. Using the given side lengths (in terms of s and a), the semiperimeter is (1 Simplifying gives x = 5 + a = S Given: Prove: = 28 + 2a X X lengths (in terms of s and a) along with the semiperimeter x, the area AMNQ of the triangle is given by the following. AMNQ = √√x(x - 5)(x - 5)(x − ( [ Substituting the expression found for x into the equation and simplifying gives the following. )(a + 5) - - s) − s)((a + (a + s) - s 2a 5+a AMNQ (Note: s > a.) √a². isosceles AMNQ with QM = QNs and MN = 2a = a√√√√ s² - a² a²(s + a) (a + s).a.a. 2 [ S N X s²_a² 5-a 5-a . Using Heron's Formula with the given side x - 2a :) - s) ((a+s) - 2a)
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