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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.3: Regular Polygons And Area

Problem 42E: For square MNPQ, MN = 4. Congruent squares and congruent triangles form octagon ABCDEFGH. Find the...

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Question

G12 math

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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