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The equation of two side of a triangle are y = m11 aDnd y= m2r, where and | m1 mg are two roots of the equation br+ 2hz + a 0. If the orthocentre of the triangle be (a,b), then show that the equation of the third side of the triangle is (a + b)(azI + by) = ab(a+b-2h).

The equation of two side of a triangle are y = m11 aDnd y= m2r, where and | m1 mg are two roots of the equation br+ 2hz + a 0. If the orthocentre of the triangle be (a,b), then show that the equation of the third side of the triangle is (a + b)(azI + by) = ab(a+b-2h).

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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The equation of two side of a triangle are y= m1r and y=m21, where m1 and mg are two roots of the equation br+ 2hr + a 0. If the orthocentre of the triangle be (a,b), then show that the equation of the third side of the triangle is (a +b)(ax + by)= ab(a +b-2h).
Transcribed Image Text:The equation of two side of a triangle are y= m1r and y=m21, where m1 and mg are two roots of the equation br+ 2hr + a 0. If the orthocentre of the triangle be (a,b), then show that the equation of the third side of the triangle is (a +b)(ax + by)= ab(a +b-2h).
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