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Square ABCD has K on BC, L on DC, M on AD, and N on AB such that KLMN forms a rectangle, AAMN and ALKC are congruent isosceles triangles, and also AMDL and ABNK are congruent isosceles triangles. If the total area of the four triangles is 50 cm², what is the length of MK? A N # M D L

Square ABCD has K on BC, L on DC, M on AD, and N on AB such that KLMN forms a rectangle, AAMN and ALKC are congruent isosceles triangles, and also AMDL and ABNK are congruent isosceles triangles. If the total area of the four triangles is 50 cm², what is the length of MK? A N # M D L

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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Square ABCD has K on BC, L on DC, M on AD, and N on AB such that KLMN forms a rectangle, AAMN and ALKC are congruent isosceles triangles, and also AMDL and ABNK are congruent isosceles triangles. If the total area of the four triangles is 50 cm², what is the length of MK? A N B K H M D H L с
Transcribed Image Text:Square ABCD has K on BC, L on DC, M on AD, and N on AB such that KLMN forms a rectangle, AAMN and ALKC are congruent isosceles triangles, and also AMDL and ABNK are congruent isosceles triangles. If the total area of the four triangles is 50 cm², what is the length of MK? A N B K H M D H L с
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